56572634432160 has 3456 divisors, whose sum is σ = 266027023761408. Its totient is φ = 10793502720000.

The previous prime is 56572634432147. The next prime is 56572634432177. The reversal of 56572634432160 is 6123443627565.

56572634432160 is a `hidden beast` number, since 5 + 6 + 57 + 263 + 4 + 4 + 321 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56572634432097 and 56572634432106.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83563713742 + ... + 83563714418.

It is an arithmetic number, because the mean of its divisors is an integer number (76975411968).

Almost surely, 2^{56572634432160} 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 56572634432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133013511880704).

56572634432160 is an abundant number, since it is smaller than the sum of its proper divisors (209454389329248).

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

56572634432160 is a wasteful number, since it uses less digits than its factorization.

56572634432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 56572634432160 in words is "fifty-six trillion, five hundred seventy-two billion, six hundred thirty-four million, four hundred thirty-two thousand, one hundred sixty".