57011579136 has 126 divisors (see below), whose sum is σ = 170623191270. Its totient is φ = 19003797504.

The previous prime is 57011579123. The next prime is 57011579143. The reversal of 57011579136 is 63197511075.

57011579136 is a `hidden beast` number, since 5 + 70 + 1 + 1 + 579 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55431993600 + 1579585536 = 235440^2 + 39744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57011579091 and 57011579100.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 33880 + ... + 339368.

Almost surely, 2^57011579136 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 57011579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85311595635).

57011579136 is an abundant number, since it is smaller than the sum of its proper divisors (113611612134).

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

57011579136 is an frugal number, since it uses more digits than its factorization.

57011579136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305523 (or 305494 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 57011579136 in words is "fifty-seven billion, eleven million, five hundred seventy-nine thousand, one hundred thirty-six".