57555456 has 160 divisors (see below), whose sum is σ = 180309888. Its totient is φ = 15974400.

The previous prime is 57555451. The next prime is 57555469. The reversal of 57555456 is 65455575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57555451) 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, 569806 + ... + 569906.

Almost surely, 2^57555456 is an apocalyptic number.

57555456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57555456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90154944).

57555456 is an abundant number, since it is smaller than the sum of its proper divisors (122754432).

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

57555456 is a wasteful number, since it uses less digits than its factorization.

57555456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its digits is 525000, while the sum is 42.

The square root of 57555456 is about 7586.5312231612. The cubic root of 57555456 is about 386.0961754855.

It can be divided in two parts, 5755 and 5456, that added together give a palindrome (11211).

The spelling of 57555456 in words is "fifty-seven million, five hundred fifty-five thousand, four hundred fifty-six".