57557700 has 108 divisors (see below), whose sum is σ = 186321408. Its totient is φ = 14846400.

The previous prime is 57557677. The next prime is 57557771. The reversal of 57557700 is 775575.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26869 + ... + 28931.

Almost surely, 2^57557700 is an apocalyptic number.

57557700 is a gapful number since it is divisible by the number (50) 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 57557700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93160704).

57557700 is an abundant number, since it is smaller than the sum of its proper divisors (128763708).

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

57557700 is a wasteful number, since it uses less digits than its factorization.

57557700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 42875, while the sum is 36.

The square root of 57557700 is about 7586.6791153969. The cubic root of 57557700 is about 386.1011931886.

The spelling of 57557700 in words is "fifty-seven million, five hundred fifty-seven thousand, seven hundred".