57121680 has 240 divisors, whose sum is σ = 223235712. Its totient is φ = 11827200.

The previous prime is 57121667. The next prime is 57121693. The reversal of 57121680 is 8612175.

It is an interprime number because it is at equal distance from previous prime (57121667) and next prime (57121693).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203140 + ... + 203420.

Almost surely, 2^57121680 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 57121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111617856).

57121680 is an abundant number, since it is smaller than the sum of its proper divisors (166114032).

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

57121680 is a wasteful number, since it uses less digits than its factorization.

57121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 57121680 is about 7557.8885940453. Note that the first 3 decimals coincide. The cubic root of 57121680 is about 385.1237697301.

The spelling of 57121680 in words is "fifty-seven million, one hundred twenty-one thousand, six hundred eighty".