56553180 has 48 divisors (see below), whose sum is σ = 159903744. Its totient is φ = 14932800.

The previous prime is 56553163. The next prime is 56553187. The reversal of 56553180 is 8135565.

It is a super-2 number, since 2×56553180² = 6396524336224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56553187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605 + ... + 10755.

It is an arithmetic number, because the mean of its divisors is an integer number (3331328).

Almost surely, 2^56553180 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 56553180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79951872).

56553180 is an abundant number, since it is smaller than the sum of its proper divisors (103350564).

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

56553180 is a wasteful number, since it uses less digits than its factorization.

56553180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266 (or 9264 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 56553180 is about 7520.1848381539. The cubic root of 56553180 is about 383.8418673980.

The spelling of 56553180 in words is "fifty-six million, five hundred fifty-three thousand, one hundred eighty".