56456120175 has 48 divisors (see below), whose sum is σ = 114880980480. Its totient is φ = 23823239040.

The previous prime is 56456120159. The next prime is 56456120251. The reversal of 56456120175 is 57102165465.

It is not a de Polignac number, because 56456120175 - 2⁴ = 56456120159 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4129155 + ... + 4142804.

It is an arithmetic number, because the mean of its divisors is an integer number (2393353760).

Almost surely, 2^56456120175 is an apocalyptic number.

56456120175 is an abundant number, since it is smaller than the sum of its proper divisors (58424860305).

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

56456120175 is a wasteful number, since it uses less digits than its factorization.

56456120175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271992 (or 8271987 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 56456120175 in words is "fifty-six billion, four hundred fifty-six million, one hundred twenty thousand, one hundred seventy-five".