56933038080 has 384 divisors, whose sum is σ = 214301505600. Its totient is φ = 14287896576.

The previous prime is 56933038069. The next prime is 56933038087. The reversal of 56933038080 is 8083033965.

56933038080 is a `hidden beast` number, since 569 + 3 + 3 + 0 + 3 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56933038087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4694104 + ... + 4706216.

Almost surely, 2^56933038080 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 56933038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107150752800).

56933038080 is an abundant number, since it is smaller than the sum of its proper divisors (157368467520).

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

56933038080 is a wasteful number, since it uses less digits than its factorization.

56933038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56933038080 in words is "fifty-six billion, nine hundred thirty-three million, thirty-eight thousand, eighty".