57551560 has 64 divisors (see below), whose sum is σ = 142430400. Its totient is φ = 20755200.

The previous prime is 57551519. The next prime is 57551561. The reversal of 57551560 is 6515575.

57551560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57551561) 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 15 ways as a sum of consecutive naturals, for example, 60690 + ... + 61630.

It is an arithmetic number, because the mean of its divisors is an integer number (2225475).

Almost surely, 2^57551560 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 57551560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71215200).

57551560 is an abundant number, since it is smaller than the sum of its proper divisors (84878840).

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

57551560 is a wasteful number, since it uses less digits than its factorization.

57551560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 34.

The square root of 57551560 is about 7586.2744479751. The cubic root of 57551560 is about 386.0874635131.

It can be divided in two parts, 575515 and 60, that added together give a palindrome (575575).

The spelling of 57551560 in words is "fifty-seven million, five hundred fifty-one thousand, five hundred sixty".