56133997920 has 960 divisors, whose sum is σ = 266050262016. Its totient is φ = 10764472320.

The previous prime is 56133997903. The next prime is 56133997951. The reversal of 56133997920 is 2979933165.

It is a happy number.

56133997920 is a `hidden beast` number, since 561 + 3 + 3 + 9 + 9 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12970797 + ... + 12975123.

Almost surely, 2^56133997920 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 56133997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133025131008).

56133997920 is an abundant number, since it is smaller than the sum of its proper divisors (209916264096).

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

56133997920 is a wasteful number, since it uses less digits than its factorization.

56133997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 56133997920 in words is "fifty-six billion, one hundred thirty-three million, nine hundred ninety-seven thousand, nine hundred twenty".