Planck time
Theoretically, the planck time is the smallest measurement of time that will ever be possible, roughly 10−43 (Scientific_notation) seconds. (Planck_time)
Age of the universe
The age of the universe is the time elapsed since the Big Bang. The current measurement is roughly 13,8 x 109 years (Age_of_the_universe). Convertering years gives us 8,073313348 x 1060 planck time.
Number of possibilities from shuffling a 52 deck card
A 52 deck card can be arranged in 52! (Factorial) ways, roughly 8,06581751709 x 1067
Conclusion
If the universe was sorting the number of possible 52 card deck combinations at planck speed since the Big Bang, it would have completed 8,073313348 x 1060 combinations. It will take the universe roughly another 8,065816709 x 1067 planck time or 1,378718573 x 1017 years to finish all possible combinations. By that time the universe would be roughly 10 million times older than its present age.
Final notes
Please feel free to do your own calculations before using this information blindly. This article has not been reviewed and is subject to errors. The author welcomes comments and is not liable for any damage or loss occurred from using this information. Thank you for your time.