57313222686720 has 6144 divisors, whose sum is σ = 292126528512000. Its totient is φ = 10273695989760.

The previous prime is 57313222686719. The next prime is 57313222686739. The reversal of 57313222686720 is 2768622231375.

57313222686720 is a `hidden beast` number, since 5 + 7 + 31 + 322 + 268 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 296959702944 + ... + 296959703136.

It is an arithmetic number, because the mean of its divisors is an integer number (47546635500).

Almost surely, 2^{57313222686720} 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 57313222686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146063264256000).

57313222686720 is an abundant number, since it is smaller than the sum of its proper divisors (234813305825280).

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

57313222686720 is a wasteful number, since it uses less digits than its factorization.

57313222686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 57313222686720 in words is "fifty-seven trillion, three hundred thirteen billion, two hundred twenty-two million, six hundred eighty-six thousand, seven hundred twenty".