57139060124160 has 2240 divisors, whose sum is σ = 250019458444800. Its totient is φ = 12489296117760.

The previous prime is 57139060124093. The next prime is 57139060124161. The reversal of 57139060124160 is 6142106093175.

57139060124160 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 9 + 0 + 601 + 24 + 16 + 0 = 666.

57139060124160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57139060124161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14722765420 + ... + 14722769300.

Almost surely, 2^{57139060124160} 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 57139060124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125009729222400).

57139060124160 is an abundant number, since it is smaller than the sum of its proper divisors (192880398320640).

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

57139060124160 is an frugal number, since it uses more digits than its factorization.

57139060124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 57139060124160 in words is "fifty-seven trillion, one hundred thirty-nine billion, sixty million, one hundred twenty-four thousand, one hundred sixty".