57119120 has 80 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 21238272.

The previous prime is 57119113. The next prime is 57119159. The reversal of 57119120 is 2191175.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 57119120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67661 + ... + 68499.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^57119120 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 57119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

57119120 is an abundant number, since it is smaller than the sum of its proper divisors (85371760).

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

57119120 is a wasteful number, since it uses less digits than its factorization.

57119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 57119120 is about 7557.7192326786. The cubic root of 57119120 is about 385.1180163303.

It can be divided in two parts, 571 and 19120, that added together give a palindrome (19691).

The spelling of 57119120 in words is "fifty-seven million, one hundred nineteen thousand, one hundred twenty".