57620828160 has 1248 divisors, whose sum is σ = 251715589632. Its totient is φ = 11890851840.

The previous prime is 57620828113. The next prime is 57620828171. The reversal of 57620828160 is 6182802675.

57620828160 is a `hidden beast` number, since 5 + 7 + 620 + 8 + 2 + 8 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811560925 + ... + 811560995.

It is an arithmetic number, because the mean of its divisors is an integer number (201695184).

Almost surely, 2^57620828160 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 57620828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125857794816).

57620828160 is an abundant number, since it is smaller than the sum of its proper divisors (194094761472).

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

57620828160 is a wasteful number, since it uses less digits than its factorization.

57620828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 57620828160 in words is "fifty-seven billion, six hundred twenty million, eight hundred twenty-eight thousand, one hundred sixty".