57080358720 has 1792 divisors, whose sum is σ = 273881088000. Its totient is φ = 11054776320.

The previous prime is 57080358719. The next prime is 57080358761. The reversal of 57080358720 is 2785308075.

57080358720 is a `hidden beast` number, since 570 + 8 + 0 + 3 + 5 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 554178189 + ... + 554178291.

Almost surely, 2^57080358720 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 57080358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544000).

57080358720 is an abundant number, since it is smaller than the sum of its proper divisors (216800729280).

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

57080358720 is a wasteful number, since it uses less digits than its factorization.

57080358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 57080358720 in words is "fifty-seven billion, eighty million, three hundred fifty-eight thousand, seven hundred twenty".