57101160 has 64 divisors (see below), whose sum is σ = 172860480. Its totient is φ = 15088640.

The previous prime is 57101131. The next prime is 57101183. The reversal of 57101160 is 6110175.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11455 + ... + 15665.

It is an arithmetic number, because the mean of its divisors is an integer number (2700945).

Almost surely, 2^57101160 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 57101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86430240).

57101160 is an abundant number, since it is smaller than the sum of its proper divisors (115759320).

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

57101160 is a wasteful number, since it uses less digits than its factorization.

57101160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 57101160 is about 7556.5309501120. The cubic root of 57101160 is about 385.0776478008.

The spelling of 57101160 in words is "fifty-seven million, one hundred one thousand, one hundred sixty".