57966668928 has 640 divisors, whose sum is σ = 209794252800. Its totient is φ = 15519651840.

The previous prime is 57966668927. The next prime is 57966668941. The reversal of 57966668928 is 82986666975.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (57966668927) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 175125723 + ... + 175126053.

It is an arithmetic number, because the mean of its divisors is an integer number (327803520).

Almost surely, 2^57966668928 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 57966668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104897126400).

57966668928 is an abundant number, since it is smaller than the sum of its proper divisors (151827583872).

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

57966668928 is a wasteful number, since it uses less digits than its factorization.

57966668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 489 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 57966668928 in words is "fifty-seven billion, nine hundred sixty-six million, six hundred sixty-eight thousand, nine hundred twenty-eight".