57111120 has 120 divisors (see below), whose sum is σ = 209263392. Its totient is φ = 13843200.

The previous prime is 57111113. The next prime is 57111127. The reversal of 57111120 is 2111175.

It is a happy number.

57111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57111113) and next prime (57111127).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 57111093 and 57111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57111127) 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 23 ways as a sum of consecutive naturals, for example, 4315 + ... + 11525.

Almost surely, 2^57111120 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 57111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104631696).

57111120 is an abundant number, since it is smaller than the sum of its proper divisors (152152272).

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

57111120 is a wasteful number, since it uses less digits than its factorization.

57111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 57111120 is about 7557.1899539445. The cubic root of 57111120 is about 385.1000358480.

Adding to 57111120 its reverse (2111175), we get a palindrome (59222295).

Subtracting from 57111120 its reverse (2111175), we obtain a palindrome (54999945).

The spelling of 57111120 in words is "fifty-seven million, one hundred eleven thousand, one hundred twenty".