57381120 has 216 divisors, whose sum is σ = 210928536. Its totient is φ = 14352384.

The previous prime is 57381119. The next prime is 57381173. The reversal of 57381120 is 2118375.

57381120 is a `hidden beast` number, since 573 + 81 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 31002624 = 5136^2 + 5568^2 .

It is a congruent number.

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, 195694 + ... + 195986.

It is an arithmetic number, because the mean of its divisors is an integer number (976521).

Almost surely, 2^57381120 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 57381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105464268).

57381120 is an abundant number, since it is smaller than the sum of its proper divisors (153547416).

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

57381120 is a wasteful number, since it uses less digits than its factorization.

57381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57381120 is about 7575.0326731969. The cubic root of 57381120 is about 385.7059516130.

Adding to 57381120 its reverse (2118375), we get a palindrome (59499495).

The spelling of 57381120 in words is "fifty-seven million, three hundred eighty-one thousand, one hundred twenty".