21022934560992 has 576 divisors, whose sum is σ = 74161879593984. Its totient is φ = 5500779724800.

The previous prime is 21022934560963. The next prime is 21022934561003. The reversal of 21022934560992 is 29906543922012.

21022934560992 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 29 + 3 + 4 + 5 + 609 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3589366128 + ... + 3589371984.

It is an arithmetic number, because the mean of its divisors is an integer number (128753263184).

Almost surely, 2^{21022934560992} 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 21022934560992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37080939796992).

21022934560992 is an abundant number, since it is smaller than the sum of its proper divisors (53138945032992).

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

21022934560992 is a wasteful number, since it uses less digits than its factorization.

21022934560992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 21022934560992 in words is "twenty-one trillion, twenty-two billion, nine hundred thirty-four million, five hundred sixty thousand, nine hundred ninety-two".