12796705152 has 576 divisors, whose sum is σ = 48079221840. Its totient is φ = 3228180480.

The previous prime is 12796705127. The next prime is 12796705169. The reversal of 12796705152 is 25150769721.

12796705152 is a `hidden beast` number, since 1 + 2 + 79 + 67 + 0 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 12796705098 and 12796705107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22974058 + ... + 22974614.

Almost surely, 2^12796705152 is an apocalyptic number.

12796705152 is a gapful number since it is divisible by the number (12) 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 12796705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24039610920).

12796705152 is an abundant number, since it is smaller than the sum of its proper divisors (35282516688).

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

12796705152 is a wasteful number, since it uses less digits than its factorization.

12796705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 12796705152 in words is "twelve billion, seven hundred ninety-six million, seven hundred five thousand, one hundred fifty-two".