57253279680 has 224 divisors, whose sum is σ = 205789377600. Its totient is φ = 14979354624.

The previous prime is 57253279679. The next prime is 57253279693. The reversal of 57253279680 is 8697235275.

57253279680 is a `hidden beast` number, since 572 + 5 + 3 + 2 + 7 + 9 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395406 + ... + 520434.

Almost surely, 2^57253279680 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 57253279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102894688800).

57253279680 is an abundant number, since it is smaller than the sum of its proper divisors (148536097920).

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

57253279680 is a wasteful number, since it uses less digits than its factorization.

57253279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125108 (or 125092 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 57253279680 in words is "fifty-seven billion, two hundred fifty-three million, two hundred seventy-nine thousand, six hundred eighty".