56550560 has 144 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 19514880.

The previous prime is 56550553. The next prime is 56550563. The reversal of 56550560 is 6505565.

56550560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56550563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 445217 + ... + 445343.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^56550560 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 56550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

56550560 is an abundant number, since it is smaller than the sum of its proper divisors (97891168).

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

56550560 is a wasteful number, since it uses less digits than its factorization.

56550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 56550560 is about 7520.0106382903. The cubic root of 56550560 is about 383.8359397548.

It can be divided in two parts, 565505 and 60, that added together give a palindrome (565565).

The spelling of 56550560 in words is "fifty-six million, five hundred fifty thousand, five hundred sixty".