57648476160 has 312 divisors, whose sum is σ = 217997108784. Its totient is φ = 13974896640.

The previous prime is 57648476147. The next prime is 57648476167. The reversal of 57648476160 is 6167484675.

57648476160 is a `hidden beast` number, since 5 + 7 + 6 + 4 + 8 + 476 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57648476097 and 57648476106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57648476167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013304 + ... + 2041736.

It is an arithmetic number, because the mean of its divisors is an integer number (698708682).

Almost surely, 2^57648476160 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 57648476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108998554392).

57648476160 is an abundant number, since it is smaller than the sum of its proper divisors (160348632624).

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

57648476160 is a wasteful number, since it uses less digits than its factorization.

57648476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28479 (or 28454 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 57648476160 in words is "fifty-seven billion, six hundred forty-eight million, four hundred seventy-six thousand, one hundred sixty".