56806560000 has 540 divisors, whose sum is σ = 207195276288. Its totient is φ = 14962176000.

The previous prime is 56806559981. The next prime is 56806560017. The reversal of 56806560000 is 6560865.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 148319809 + ... + 148320191.

Almost surely, 2^56806560000 is an apocalyptic number.

56806560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56806560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103597638144).

56806560000 is an abundant number, since it is smaller than the sum of its proper divisors (150388716288).

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

56806560000 is a wasteful number, since it uses less digits than its factorization.

56806560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56806560000 in words is "fifty-six billion, eight hundred six million, five hundred sixty thousand".