57121920 has 192 divisors, whose sum is σ = 202400640. Its totient is φ = 14837760.

The previous prime is 57121907. The next prime is 57121951. The reversal of 57121920 is 2912175.

57121920 is a `hidden beast` number, since 571 + 2 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 270615 + ... + 270825.

It is an arithmetic number, because the mean of its divisors is an integer number (1054170).

Almost surely, 2^57121920 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 57121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101200320).

57121920 is an abundant number, since it is smaller than the sum of its proper divisors (145278720).

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

57121920 is a wasteful number, since it uses less digits than its factorization.

57121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 57121920 is about 7557.9044714789. The cubic root of 57121920 is about 385.1243091025.

The spelling of 57121920 in words is "fifty-seven million, one hundred twenty-one thousand, nine hundred twenty".