56686084646400 has 2880 divisors, whose sum is σ = 233621879242752. Its totient is φ = 13113999360000.

The previous prime is 56686084646363. The next prime is 56686084646407. The reversal of 56686084646400 is 464648068665.

56686084646400 is a `hidden beast` number, since 56 + 6 + 8 + 60 + 8 + 464 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56686084646407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 446347123137 + ... + 446347123263.

Almost surely, 2^{56686084646400} is an apocalyptic number.

56686084646400 is a gapful number since it is divisible by the number (50) 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 56686084646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116810939621376).

56686084646400 is an abundant number, since it is smaller than the sum of its proper divisors (176935794596352).

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

56686084646400 is a wasteful number, since it uses less digits than its factorization.

56686084646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 56686084646400 in words is "fifty-six trillion, six hundred eighty-six billion, eighty-four million, six hundred forty-six thousand, four hundred".