56319520320 has 1680 divisors, whose sum is σ = 263682967680. Its totient is φ = 11107860480.

The previous prime is 56319520307. The next prime is 56319520381. The reversal of 56319520320 is 2302591365.

56319520320 is a `hidden beast` number, since 563 + 1 + 95 + 2 + 0 + 3 + 2 + 0 = 666.

56319520320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1816758705 + ... + 1816758735.

Almost surely, 2^56319520320 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 56319520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131841483840).

56319520320 is an abundant number, since it is smaller than the sum of its proper divisors (207363447360).

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

56319520320 is a wasteful number, since it uses less digits than its factorization.

56319520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 56319520320 in words is "fifty-six billion, three hundred nineteen million, five hundred twenty thousand, three hundred twenty".