56330588160 has 1456 divisors, whose sum is σ = 257839574400. Its totient is φ = 11705057280.

The previous prime is 56330588141. The next prime is 56330588177. The reversal of 56330588160 is 6188503365.

56330588160 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 0 + 588 + 1 + 60 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5120962555 + ... + 5120962565.

Almost surely, 2^56330588160 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 56330588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128919787200).

56330588160 is an abundant number, since it is smaller than the sum of its proper divisors (201508986240).

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

56330588160 is an frugal number, since it uses more digits than its factorization.

56330588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56330588160 in words is "fifty-six billion, three hundred thirty million, five hundred eighty-eight thousand, one hundred sixty".