56556160 has 64 divisors (see below), whose sum is σ = 142351200. Its totient is φ = 21427200.

The previous prime is 56556133. The next prime is 56556163. The reversal of 56556160 is 6165565.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (56556163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9835 + ... + 14485.

Almost surely, 2^56556160 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 56556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71175600).

56556160 is an abundant number, since it is smaller than the sum of its proper divisors (85795040).

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

56556160 is a wasteful number, since it uses less digits than its factorization.

56556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 56556160 is about 7520.3829689717. The cubic root of 56556160 is about 383.8486093041.

The spelling of 56556160 in words is "fifty-six million, five hundred fifty-six thousand, one hundred sixty".