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You're specs say you have a Toshiba Satellite C55T-A. According to Toshiba's 'User's Guide for Satellite/Satellite Pro C40 C50 C70 - A Series' available here...
Satellite C55T-A5218 Support | DynabookUsed in combination with the Fn key, function keys marked with icons execute specific functions on the computer. For example, F5 turns the touch pad ON/OFF.
......The Fn + F5 keys should toggle the touch pad on or off.