12996634865760 has 4608 divisors, whose sum is σ = 64550464634880. Its totient is φ = 2406708412416.

The previous prime is 12996634865759. The next prime is 12996634865779. The reversal of 12996634865760 is 6756843669921.

12996634865760 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 6 + 6 + 3 + 48 + 6 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 50570563552 + ... + 50570563808.

It is an arithmetic number, because the mean of its divisors is an integer number (14008347360).

It is a 1-persistent number, because it is pandigital, but 2⋅12996634865760 = 25993269731520 is not.

Almost surely, 2^{12996634865760} is an apocalyptic number.

12996634865760 is a gapful number since it is divisible by the number (10) 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 12996634865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32275232317440).

12996634865760 is an abundant number, since it is smaller than the sum of its proper divisors (51553829769120).

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

12996634865760 is a wasteful number, since it uses less digits than its factorization.

12996634865760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 12996634865760 in words is "twelve trillion, nine hundred ninety-six billion, six hundred thirty-four million, eight hundred sixty-five thousand, seven hundred sixty".