76126159812096 has 320 divisors, whose sum is σ = 226568283701760. Its totient is φ = 25237024727040.

The previous prime is 76126159812037. The next prime is 76126159812097. The reversal of 76126159812096 is 69021895162167.

76126159812096 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 615 + 9 + 8 + 1 + 2 + 0 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76126159812097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14016966501 + ... + 14016971931.

It is an arithmetic number, because the mean of its divisors is an integer number (708025886568).

Almost surely, 2^{76126159812096} 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 76126159812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113284141850880).

76126159812096 is an abundant number, since it is smaller than the sum of its proper divisors (150442123889664).

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

76126159812096 is a wasteful number, since it uses less digits than its factorization.

76126159812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 76126159812096 in words is "seventy-six trillion, one hundred twenty-six billion, one hundred fifty-nine million, eight hundred twelve thousand, ninety-six".