56589194604800 has 432 divisors, whose sum is σ = 164788336829760. Its totient is φ = 18967965696000.

The previous prime is 56589194604799. The next prime is 56589194604863. The reversal of 56589194604800 is 840649198565.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648833195 + ... + 648920405.

Almost surely, 2^{56589194604800} is an apocalyptic number.

56589194604800 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 56589194604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82394168414880).

56589194604800 is an abundant number, since it is smaller than the sum of its proper divisors (108199142224960).

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

56589194604800 is a wasteful number, since it uses less digits than its factorization.

56589194604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87970 (or 87951 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 65.

The spelling of 56589194604800 in words is "fifty-six trillion, five hundred eighty-nine billion, one hundred ninety-four million, six hundred four thousand, eight hundred".