Well, I don’t know about infinitely, but you can use a text layer with an expression to count up to 999999999999999.
Here’s an example that counts from 1600000 to 999999999999999 over 4 seconds:
startCount = 1600000;
endCount = 999999999999999;
countDur = 4;
Math.round(linear(time,0,countDur,startCount,endCount))
Dan