An abbreviated way of expressing that a phone number can be used for both calling and texting. When added after a phone number this expresses permission for the person receiving the number to contact the phone owner in either manner, but more than likely a text message is preferred.
Person 1: Let's study together later.
Person 2: Well, write down number and we can set something up, I'm not sure what my schedule is right now...
Person 1: *writes* (555) 555-5555 C/T
Person 2: Awesome, I'll text you later.
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