57280876240896 has 1680 divisors, whose sum is σ = 229959051304752. Its totient is φ = 14001478041600.

The previous prime is 57280876240877. The next prime is 57280876240909. The reversal of 57280876240896 is 69804267808275.

57280876240896 is a `hidden beast` number, since 5 + 7 + 2 + 80 + 87 + 62 + 408 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6080122266 + ... + 6080131686.

Almost surely, 2^{57280876240896} is an apocalyptic number.

57280876240896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57280876240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114979525652376).

57280876240896 is an abundant number, since it is smaller than the sum of its proper divisors (172678175063856).

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

57280876240896 is a wasteful number, since it uses less digits than its factorization.

57280876240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 57280876240896 in words is "fifty-seven trillion, two hundred eighty billion, eight hundred seventy-six million, two hundred forty thousand, eight hundred ninety-six".