56577583094220 has 576 divisors, whose sum is σ = 192516839424000. Its totient is φ = 13393644042240.

The previous prime is 56577583094171. The next prime is 56577583094267. The reversal of 56577583094220 is 2249038577565.

56577583094220 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 7 + 583 + 0 + 9 + 42 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 554506129 + ... + 554608151.

It is an arithmetic number, because the mean of its divisors is an integer number (334230624000).

Almost surely, 2^{56577583094220} 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 56577583094220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96258419712000).

56577583094220 is an abundant number, since it is smaller than the sum of its proper divisors (135939256329780).

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

56577583094220 is a wasteful number, since it uses less digits than its factorization.

56577583094220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102270 (or 102265 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 56577583094220 in words is "fifty-six trillion, five hundred seventy-seven billion, five hundred eighty-three million, ninety-four thousand, two hundred twenty".