56820687120 has 480 divisors, whose sum is σ = 213720249600. Its totient is φ = 13444448256.

The previous prime is 56820687089. The next prime is 56820687163. The reversal of 56820687120 is 2178602865.

56820687120 is a `hidden beast` number, since 568 + 2 + 0 + 6 + 87 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61162816 + ... + 61163744.

It is an arithmetic number, because the mean of its divisors is an integer number (445250520).

Almost surely, 2^56820687120 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 56820687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106860124800).

56820687120 is an abundant number, since it is smaller than the sum of its proper divisors (156899562480).

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

56820687120 is a wasteful number, since it uses less digits than its factorization.

56820687120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 56820687120 in words is "fifty-six billion, eight hundred twenty million, six hundred eighty-seven thousand, one hundred twenty".