57317268960 has 864 divisors, whose sum is σ = 237187694016. Its totient is φ = 12342067200.

The previous prime is 57317268959. The next prime is 57317269007. The reversal of 57317268960 is 6986271375.

57317268960 is a `hidden beast` number, since 5 + 7 + 317 + 268 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57317268897 and 57317268906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 590899632 + ... + 590899728.

It is an arithmetic number, because the mean of its divisors is an integer number (274522794).

Almost surely, 2^57317268960 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 57317268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118593847008).

57317268960 is an abundant number, since it is smaller than the sum of its proper divisors (179870425056).

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

57317268960 is a wasteful number, since it uses less digits than its factorization.

57317268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 57317268960 in words is "fifty-seven billion, three hundred seventeen million, two hundred sixty-eight thousand, nine hundred sixty".