5131288712160 has 480 divisors, whose sum is σ = 20649385354752. Its totient is φ = 1188786585600.

The previous prime is 5131288712153. The next prime is 5131288712161. The reversal of 5131288712160 is 612178821315.

5131288712160 is a `hidden beast` number, since 51 + 312 + 8 + 8 + 71 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131288712161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1968385 + ... + 3759935.

Almost surely, 2^{5131288712160} 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 5131288712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324692677376).

5131288712160 is an abundant number, since it is smaller than the sum of its proper divisors (15518096642592).

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

5131288712160 is a wasteful number, since it uses less digits than its factorization.

5131288712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791608 (or 1791591 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 5131288712160 in words is "five trillion, one hundred thirty-one billion, two hundred eighty-eight million, seven hundred twelve thousand, one hundred sixty".