5156131516704 has 192 divisors, whose sum is σ = 17194247239680. Its totient is φ = 1472568249600.

The previous prime is 5156131516693. The next prime is 5156131516741. The reversal of 5156131516704 is 4076151316515.

5156131516704 is a `hidden beast` number, since 5 + 1 + 5 + 61 + 3 + 1 + 516 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5156131516704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14478379 + ... + 14830229.

It is an arithmetic number, because the mean of its divisors is an integer number (89553371040).

Almost surely, 2^{5156131516704} is an apocalyptic number.

5156131516704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5156131516704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597123619840).

5156131516704 is an abundant number, since it is smaller than the sum of its proper divisors (12038115722976).

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

5156131516704 is a wasteful number, since it uses less digits than its factorization.

5156131516704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354300 (or 354286 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5156131516704 in words is "five trillion, one hundred fifty-six billion, one hundred thirty-one million, five hundred sixteen thousand, seven hundred four".