57135740616 has 72 divisors (see below), whose sum is σ = 157087582470. Its totient is φ = 18760883328.

The previous prime is 57135740587. The next prime is 57135740653. The reversal of 57135740616 is 61604753175.

57135740616 is a `hidden beast` number, since 5 + 7 + 13 + 574 + 0 + 61 + 6 = 666.

57135740616 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 only one way, i.e., 36769596516 + 20366144100 = 191754^2 + 142710^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 234820 + ... + 411596.

Almost surely, 2^57135740616 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 57135740616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78543791235).

57135740616 is an abundant number, since it is smaller than the sum of its proper divisors (99951841854).

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

57135740616 is a wasteful number, since it uses less digits than its factorization.

57135740616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176923 (or 176849 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 57135740616 in words is "fifty-seven billion, one hundred thirty-five million, seven hundred forty thousand, six hundred sixteen".