57451680 has 480 divisors, whose sum is σ = 245887488. Its totient is φ = 12441600.

The previous prime is 57451651. The next prime is 57451699. The reversal of 57451680 is 8615475.

57451680 is a `hidden beast` number, since 574 + 5 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853265 + ... + 1853295.

Almost surely, 2^57451680 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 57451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

57451680 is an abundant number, since it is smaller than the sum of its proper divisors (188435808).

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

57451680 is a wasteful number, since it uses less digits than its factorization.

57451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57451680 is about 7579.6886479591. The cubic root of 57451680 is about 385.8639842215.

The spelling of 57451680 in words is "fifty-seven million, four hundred fifty-one thousand, six hundred eighty".