57306806910948 has 288 divisors, whose sum is σ = 166303361081088. Its totient is φ = 15276319027200.

The previous prime is 57306806910929. The next prime is 57306806911027. The reversal of 57306806910948 is 84901960860375.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4012793568 + ... + 4012807848.

It is an arithmetic number, because the mean of its divisors is an integer number (577442225976).

Almost surely, 2^{57306806910948} 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 57306806910948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83151680540544).

57306806910948 is an abundant number, since it is smaller than the sum of its proper divisors (108996554170140).

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

57306806910948 is a wasteful number, since it uses less digits than its factorization.

57306806910948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 57306806910948 in words is "fifty-seven trillion, three hundred six billion, eight hundred six million, nine hundred ten thousand, nine hundred forty-eight".