12926275468992 has 224 divisors, whose sum is σ = 39375884021760. Its totient is φ = 4153907128320.

The previous prime is 12926275468891. The next prime is 12926275469053. The reversal of 12926275468992 is 29986457262921.

12926275468992 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 6 + 2 + 75 + 468 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12926275468992.

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, 13629628 + ... + 14547140.

Almost surely, 2^{12926275468992} is an apocalyptic number.

12926275468992 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 12926275468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687942010880).

12926275468992 is an abundant number, since it is smaller than the sum of its proper divisors (26449608552768).

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

12926275468992 is a wasteful number, since it uses less digits than its factorization.

12926275468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917828 (or 917812 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 12926275468992 in words is "twelve trillion, nine hundred twenty-six billion, two hundred seventy-five million, four hundred sixty-eight thousand, nine hundred ninety-two".