57388819104 has 144 divisors (see below), whose sum is σ = 170480261952. Its totient is φ = 18277991424.

The previous prime is 57388819051. The next prime is 57388819109. The reversal of 57388819104 is 40191888375.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57388819109) 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 23 ways as a sum of consecutive naturals, for example, 6838399 + ... + 6846785.

It is an arithmetic number, because the mean of its divisors is an integer number (1183890708).

Almost surely, 2^57388819104 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 57388819104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85240130976).

57388819104 is an abundant number, since it is smaller than the sum of its proper divisors (113091442848).

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

57388819104 is a wasteful number, since it uses less digits than its factorization.

57388819104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 57388819104 in words is "fifty-seven billion, three hundred eighty-eight million, eight hundred nineteen thousand, one hundred four".