56687567040 has 896 divisors, whose sum is σ = 229814323200. Its totient is φ = 13038796800.

The previous prime is 56687567033. The next prime is 56687567077. The reversal of 56687567040 is 4076578665.

56687567040 is a `hidden beast` number, since 566 + 8 + 7 + 5 + 6 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215541949 + ... + 215542211.

It is an arithmetic number, because the mean of its divisors is an integer number (256489200).

Almost surely, 2^56687567040 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 56687567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114907161600).

56687567040 is an abundant number, since it is smaller than the sum of its proper divisors (173126756160).

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

56687567040 is a wasteful number, since it uses less digits than its factorization.

56687567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 56687567040 in words is "fifty-six billion, six hundred eighty-seven million, five hundred sixty-seven thousand, forty".