21879765086400 has 756 divisors, whose sum is σ = 84481680170160. Its totient is φ = 5368284979200.

The previous prime is 21879765086381. The next prime is 21879765086441. The reversal of 21879765086400 is 468056797812.

21879765086400 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 97 + 65 + 0 + 86 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 756835146 + ... + 756864054.

Almost surely, 2^{21879765086400} is an apocalyptic number.

21879765086400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21879765086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42240840085080).

21879765086400 is an abundant number, since it is smaller than the sum of its proper divisors (62601915083760).

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

21879765086400 is a wasteful number, since it uses less digits than its factorization.

21879765086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29274 (or 29243 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 21879765086400 in words is "twenty-one trillion, eight hundred seventy-nine billion, seven hundred sixty-five million, eighty-six thousand, four hundred".