57065069138112 has 336 divisors, whose sum is σ = 189458155560960. Its totient is φ = 16085530976256.

The previous prime is 57065069138039. The next prime is 57065069138171. The reversal of 57065069138112 is 21183196056075.

57065069138112 is a `hidden beast` number, since 5 + 7 + 0 + 6 + 506 + 9 + 13 + 8 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91348168 + ... + 91970744.

Almost surely, 2^{57065069138112} 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 57065069138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94729077780480).

57065069138112 is an abundant number, since it is smaller than the sum of its proper divisors (132393086422848).

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

57065069138112 is a wasteful number, since it uses less digits than its factorization.

57065069138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622908 (or 622895 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 57065069138112 in words is "fifty-seven trillion, sixty-five billion, sixty-nine million, one hundred thirty-eight thousand, one hundred twelve".