My telstra t54 tough phone has stopped storing the call logs

Try this SMS fun.poly.off to 176 or Log on to es.telstra.com/PocketNew...erts_Summary.jsp and deselect the alerts you have selected , you will not be charged for using this service.

Hope that helps...........

fay what device are you using ?
The app is called Telstra 24/7
it may be on more icons screen of the mystery device ?

https://www.telstra.com.au/my-account/telstra-24x7-app
or download the app here depending on o/s of mystery device ?
Apple ?
https://itunes.apple.com/app/apple-store/id543829966?mt=8

or Android ?
https://play.google.com/store/apps/details?id=com.telstra.mobile.android.mytelstra&referrer=utm_source%3DTcom-24x7App

Does not seem to be an application for mac or windows
https://crowdsupport.telstra.com.au/t5/Telstra-24x7-App/Telstra-24-7-for-Windows-10/td-p/605046

Unlock a zte telstra to use any network
https://www.unlockninja.com/unlock-zte+t54

See bottom of this eset link for Android protection.
http://www.eset.com/us/store/

If you want to transfer contacts from ZTE phone to iPhone, you can choose a powerful phone to phone transfer tool for you to do.
It can help you transfer files between two phones without much time, so it is very easy for you to try.
MobiKin Transfer for Mobile Mac Version How to Transfer Contacts between iPhone and Android Easily

If your mobile phone is lost or stolen you can inform your cell phone provider with your IMEI number. Your cell phone provider can then put the serial number on a shared database. This list stops this particular phone from registering on any network and will be useless for anyone even if the mobile phone's SIM card is changed.
Your best bet is to ring your cell phone and hope the person who answers your cell phone will return your phone to you. If your cell phone is GPS enabled then it is possible to track, but you need to contact your cell phone service provider. Otherwise I suggest you contact your cell phone provider ASAP. To lock/block your cell phone from further use, please click on this link :- http://www.fixya.com/support/r5057854-lost_or_stolen_cell_phone

Delete call timer in call duration.
Remove battery.
Remove sim card for 30 seconds.
Frank Ludewig

you can contact the mobile service provider..........