57111840 has 144 divisors (see below), whose sum is σ = 206446968. Its totient is φ = 14327808.

The previous prime is 57111839. The next prime is 57111851. The reversal of 57111840 is 4811175.

57111840 is a `hidden beast` number, since 571 + 11 + 84 + 0 = 666.

57111840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 8503056 = 6972^2 + 2916^2 .

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

It is an unprimeable number.

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, 23314 + ... + 25646.

Almost surely, 2^57111840 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 57111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103223484).

57111840 is an abundant number, since it is smaller than the sum of its proper divisors (149335128).

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

57111840 is a wasteful number, since it uses less digits than its factorization.

57111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 57111840 is about 7557.2375905485. The cubic root of 57111840 is about 385.1016541602.

The spelling of 57111840 in words is "fifty-seven million, one hundred eleven thousand, eight hundred forty".