57055140 has 72 divisors (see below), whose sum is σ = 174053880. Its totient is φ = 15128064.

The previous prime is 57055129. The next prime is 57055153. The reversal of 57055140 is 4155075.

57055140 is a `hidden beast` number, since 5 + 70 + 551 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38340864 + 18714276 = 6192^2 + 4326^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34656 + ... + 36264.

It is an arithmetic number, because the mean of its divisors is an integer number (2417415).

Almost surely, 2^57055140 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 57055140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87026940).

57055140 is an abundant number, since it is smaller than the sum of its proper divisors (116998740).

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

57055140 is a wasteful number, since it uses less digits than its factorization.

57055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 57055140 is about 7553.4852882626. The cubic root of 57055140 is about 384.9741704153.

The spelling of 57055140 in words is "fifty-seven million, fifty-five thousand, one hundred forty".