57668047104 has 144 divisors (see below), whose sum is σ = 160607250944. Its totient is φ = 18347212800.

The previous prime is 57668047103. The next prime is 57668047109. The reversal of 57668047104 is 40174086675.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57668047103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1721394 + ... + 1754574.

Almost surely, 2^57668047104 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 57668047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80303625472).

57668047104 is an abundant number, since it is smaller than the sum of its proper divisors (102939203840).

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

57668047104 is a wasteful number, since it uses less digits than its factorization.

57668047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33304 (or 33290 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 57668047104 in words is "fifty-seven billion, six hundred sixty-eight million, forty-seven thousand, one hundred four".