56592806400 has 1440 divisors, whose sum is σ = 239366679552. Its totient is φ = 12651724800.

The previous prime is 56592806371. The next prime is 56592806401. The reversal of 56592806400 is 460829565.

56592806400 is a `hidden beast` number, since 56 + 592 + 8 + 0 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56592806401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1067788774 + ... + 1067788826.

Almost surely, 2^56592806400 is an apocalyptic number.

56592806400 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 56592806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119683339776).

56592806400 is an abundant number, since it is smaller than the sum of its proper divisors (182773873152).

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

56592806400 is a wasteful number, since it uses less digits than its factorization.

56592806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56592806400 in words is "fifty-six billion, five hundred ninety-two million, eight hundred six thousand, four hundred".