12796100928 has 224 divisors, whose sum is σ = 40794432000. Its totient is φ = 3909814272.

The previous prime is 12796100893. The next prime is 12796100939. The reversal of 12796100928 is 82900169721.

12796100928 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 610 + 0 + 9 + 28 = 666.

It is a super-2 number, since 2×12796100928² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 3345225 + ... + 3349047.

It is an arithmetic number, because the mean of its divisors is an integer number (182118000).

Almost surely, 2^12796100928 is an apocalyptic number.

12796100928 is a gapful number since it is divisible by the number (18) 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 12796100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397216000).

12796100928 is an abundant number, since it is smaller than the sum of its proper divisors (27998331072).

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

12796100928 is a wasteful number, since it uses less digits than its factorization.

12796100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12796100928 in words is "twelve billion, seven hundred ninety-six million, one hundred thousand, nine hundred twenty-eight".