56990157840 has 720 divisors, whose sum is σ = 242847206784. Its totient is φ = 11723120640.

The previous prime is 56990157839. The next prime is 56990157877. The reversal of 56990157840 is 4875109965.

56990157840 is a `hidden beast` number, since 5 + 69 + 9 + 0 + 1 + 578 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×56990157840² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 68911507 + ... + 68912333.

Almost surely, 2^56990157840 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 56990157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121423603392).

56990157840 is an abundant number, since it is smaller than the sum of its proper divisors (185857048944).

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

56990157840 is a wasteful number, since it uses less digits than its factorization.

56990157840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 56990157840 in words is "fifty-six billion, nine hundred ninety million, one hundred fifty-seven thousand, eight hundred forty".