21627885256992 has 2304 divisors, whose sum is σ = 82309718937600. Its totient is φ = 5486745600000.

The previous prime is 21627885256961. The next prime is 21627885257047. The reversal of 21627885256992 is 29965258872612.

It is a happy number.

21627885256992 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 7 + 8 + 8 + 52 + 569 + 9 + 2 = 666.

It is a super-2 number, since 2×21627885256992² (a number of 27 digits) contains 22 as substring.

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 21627885256992.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 143231028117 + ... + 143231028267.

It is an arithmetic number, because the mean of its divisors is an integer number (35724704400).

Almost surely, 2^{21627885256992} 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 21627885256992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41154859468800).

21627885256992 is an abundant number, since it is smaller than the sum of its proper divisors (60681833680608).

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

21627885256992 is a wasteful number, since it uses less digits than its factorization.

21627885256992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 21627885256992 in words is "twenty-one trillion, six hundred twenty-seven billion, eight hundred eighty-five million, two hundred fifty-six thousand, nine hundred ninety-two".