57917929680 has 240 divisors, whose sum is σ = 221792210640. Its totient is φ = 13418053632.

The previous prime is 57917929679. The next prime is 57917929721. The reversal of 57917929680 is 8692971975.

It can be written as a sum of positive squares in 8 ways, for example, as 1868314176 + 56049615504 = 43224^2 + 236748^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22875 + ... + 341114.

It is an arithmetic number, because the mean of its divisors is an integer number (924134211).

Almost surely, 2^57917929680 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 57917929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110896105320).

57917929680 is an abundant number, since it is smaller than the sum of its proper divisors (163874280960).

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

57917929680 is a wasteful number, since it uses less digits than its factorization.

57917929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364038 (or 364029 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 57917929680 in words is "fifty-seven billion, nine hundred seventeen million, nine hundred twenty-nine thousand, six hundred eighty".