57120826320 has 320 divisors, whose sum is σ = 211020422400. Its totient is φ = 14157711360.

The previous prime is 57120826307. The next prime is 57120826333. The reversal of 57120826320 is 2362802175.

57120826320 is a `hidden beast` number, since 5 + 7 + 12 + 0 + 8 + 2 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57120826307) and next prime (57120826333).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2161990 + ... + 2188250.

It is an arithmetic number, because the mean of its divisors is an integer number (659438820).

Almost surely, 2^57120826320 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 57120826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105510211200).

57120826320 is an abundant number, since it is smaller than the sum of its proper divisors (153899596080).

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

57120826320 is a wasteful number, since it uses less digits than its factorization.

57120826320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26355 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 57120826320 in words is "fifty-seven billion, one hundred twenty million, eight hundred twenty-six thousand, three hundred twenty".