56181168 has 80 divisors (see below), whose sum is σ = 164751360. Its totient is φ = 18321984.

The previous prime is 56181163. The next prime is 56181179. The reversal of 56181168 is 86118165.

56181168 is a `hidden beast` number, since 561 + 81 + 16 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56181163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18921 + ... + 21687.

It is an arithmetic number, because the mean of its divisors is an integer number (2059392).

Almost surely, 2^56181168 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 56181168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82375680).

56181168 is an abundant number, since it is smaller than the sum of its proper divisors (108570192).

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

56181168 is a wasteful number, since it uses less digits than its factorization.

56181168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2819 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 56181168 is about 7495.4097953347. The cubic root of 56181168 is about 382.9983661509.

It can be divided in two parts, 5618 and 1168, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 56181168 in words is "fifty-six million, one hundred eighty-one thousand, one hundred sixty-eight".