5160140711712 has 768 divisors, whose sum is σ = 18506357452800. Its totient is φ = 1369792539648.

The previous prime is 5160140711707. The next prime is 5160140711749. The reversal of 5160140711712 is 2171170410615.

5160140711712 is a `hidden beast` number, since 5 + 1 + 601 + 40 + 7 + 1 + 1 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2198610123 + ... + 2198612469.

It is an arithmetic number, because the mean of its divisors is an integer number (24096819600).

Almost surely, 2^{5160140711712} 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 5160140711712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253178726400).

5160140711712 is an abundant number, since it is smaller than the sum of its proper divisors (13346216741088).

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

5160140711712 is a wasteful number, since it uses less digits than its factorization.

5160140711712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 5160140711712 in words is "five trillion, one hundred sixty billion, one hundred forty million, seven hundred eleven thousand, seven hundred twelve".