21992505568992 has 2688 divisors, whose sum is σ = 85637344794624. Its totient is φ = 5410889662464.

The previous prime is 21992505568963. The next prime is 21992505569017. The reversal of 21992505568992 is 29986550529912.

21992505568992 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 2 + 50 + 5 + 568 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 21992505568992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 226726861488 + ... + 226726861584.

It is an arithmetic number, because the mean of its divisors is an integer number (31859131248).

Almost surely, 2^{21992505568992} 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 21992505568992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42818672397312).

21992505568992 is an abundant number, since it is smaller than the sum of its proper divisors (63644839225632).

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

21992505568992 is a wasteful number, since it uses less digits than its factorization.

21992505568992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 314928000, while the sum is 72.

The spelling of 21992505568992 in words is "twenty-one trillion, nine hundred ninety-two billion, five hundred five million, five hundred sixty-eight thousand, nine hundred ninety-two".