57093996960 has 1536 divisors, whose sum is σ = 273280573440. Its totient is φ = 10883911680.

The previous prime is 57093996929. The next prime is 57093997001. The reversal of 57093996960 is 6969939075.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 350269839 + ... + 350270001.

It is an arithmetic number, because the mean of its divisors is an integer number (177917040).

Almost surely, 2^57093996960 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 57093996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136640286720).

57093996960 is an abundant number, since it is smaller than the sum of its proper divisors (216186576480).

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

57093996960 is a wasteful number, since it uses less digits than its factorization.

57093996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 63.

The spelling of 57093996960 in words is "fifty-seven billion, ninety-three million, nine hundred ninety-six thousand, nine hundred sixty".