56131168 has 72 divisors (see below), whose sum is σ = 120399048. Its totient is φ = 25740288.

The previous prime is 56131147. The next prime is 56131171. The reversal of 56131168 is 86113165.

56131168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 496680 + ... + 496792.

It is an arithmetic number, because the mean of its divisors is an integer number (1672209).

Almost surely, 2^56131168 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 56131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60199524).

56131168 is an abundant number, since it is smaller than the sum of its proper divisors (64267880).

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

56131168 is a wasteful number, since it uses less digits than its factorization.

56131168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 56131168 is about 7492.0736782282. The cubic root of 56131168 is about 382.8847123959.

The spelling of 56131168 in words is "fifty-six million, one hundred thirty-one thousand, one hundred sixty-eight".