57253560 has 256 divisors, whose sum is σ = 217728000. Its totient is φ = 11966976.

The previous prime is 57253549. The next prime is 57253579. The reversal of 57253560 is 6535275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535027 + ... + 535133.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^57253560 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 57253560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

57253560 is an abundant number, since it is smaller than the sum of its proper divisors (160474440).

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

57253560 is a wasteful number, since it uses less digits than its factorization.

57253560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 57253560 is about 7566.6082229755. The cubic root of 57253560 is about 385.4199274848.

The spelling of 57253560 in words is "fifty-seven million, two hundred fifty-three thousand, five hundred sixty".