57312916320 has 384 divisors, whose sum is σ = 207869276160. Its totient is φ = 13127546880.

The previous prime is 57312916313. The next prime is 57312916361. The reversal of 57312916320 is 2361921375.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64906599 + ... + 64907481.

It is an arithmetic number, because the mean of its divisors is an integer number (541326240).

Almost surely, 2^57312916320 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 57312916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103934638080).

57312916320 is an abundant number, since it is smaller than the sum of its proper divisors (150556359840).

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

57312916320 is a wasteful number, since it uses less digits than its factorization.

57312916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 57312916320 in words is "fifty-seven billion, three hundred twelve million, nine hundred sixteen thousand, three hundred twenty".