56587735296 has 360 divisors, whose sum is σ = 177978307584. Its totient is φ = 17856184320.

The previous prime is 56587735241. The next prime is 56587735319. The reversal of 56587735296 is 69253778565.

56587735296 is a `hidden beast` number, since 56 + 58 + 7 + 7 + 3 + 529 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30211416 + ... + 30213288.

Almost surely, 2^56587735296 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 56587735296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88989153792).

56587735296 is an abundant number, since it is smaller than the sum of its proper divisors (121390572288).

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

56587735296 is a wasteful number, since it uses less digits than its factorization.

56587735296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1956 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 56587735296 in words is "fifty-six billion, five hundred eighty-seven million, seven hundred thirty-five thousand, two hundred ninety-six".