12716436096 has 864 divisors, whose sum is σ = 48686901120. Its totient is φ = 3170119680.

The previous prime is 12716436023. The next prime is 12716436119. The reversal of 12716436096 is 69063461721.

12716436096 is a `hidden beast` number, since 1 + 27 + 16 + 4 + 3 + 609 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 295731051 + ... + 295731093.

It is an arithmetic number, because the mean of its divisors is an integer number (56350580).

Almost surely, 2^12716436096 is an apocalyptic number.

12716436096 is a gapful number since it is divisible by the number (16) 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 12716436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24343450560).

12716436096 is an abundant number, since it is smaller than the sum of its proper divisors (35970465024).

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

12716436096 is a wasteful number, since it uses less digits than its factorization.

12716436096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12716436096 in words is "twelve billion, seven hundred sixteen million, four hundred thirty-six thousand, ninety-six".