57655736144 has 20 divisors (see below), whose sum is σ = 111715180500. Its totient is φ = 28826012160.

The previous prime is 57655736119. The next prime is 57655736161. The reversal of 57655736144 is 44163755675.

57655736144 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 2 ways, for example, as 54108342544 + 3547393600 = 232612^2 + 59560^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160232 + ... + 375480.

It is an arithmetic number, because the mean of its divisors is an integer number (5585759025).

Almost surely, 2^57655736144 is an apocalyptic number.

It is an amenable number.

57655736144 is a deficient number, since it is larger than the sum of its proper divisors (54059444356).

57655736144 is a wasteful number, since it uses less digits than its factorization.

57655736144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231998 (or 231992 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 53.

The spelling of 57655736144 in words is "fifty-seven billion, six hundred fifty-five million, seven hundred thirty-six thousand, one hundred forty-four".