21902117060736 has 1024 divisors, whose sum is σ = 74548250726400. Its totient is φ = 6271402475520.

The previous prime is 21902117060701. The next prime is 21902117060737. The reversal of 21902117060736 is 63706071120912.

21902117060736 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 2 + 1 + 1 + 7 + 0 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21902117060691 and 21902117060700.

It is not an unprimeable number, because it can be changed into a prime (21902117060737) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6324606141 + ... + 6324609603.

It is an arithmetic number, because the mean of its divisors is an integer number (72801026100).

Almost surely, 2^{21902117060736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21902117060736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37274125363200).

21902117060736 is an abundant number, since it is smaller than the sum of its proper divisors (52646133665664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21902117060736 is a wasteful number, since it uses less digits than its factorization.

21902117060736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 21902117060736 in words is "twenty-one trillion, nine hundred two billion, one hundred seventeen million, sixty thousand, seven hundred thirty-six".