12835872826992 has 80 divisors (see below), whose sum is σ = 36853144065280. Its totient is φ = 4277528595648.

The previous prime is 12835872826979. The next prime is 12835872827009. The reversal of 12835872826992 is 29962827853821.

It is a happy number.

12835872826992 is a `hidden beast` number, since 1 + 2 + 8 + 358 + 7 + 2 + 8 + 269 + 9 + 2 = 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 12835872826992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114668 + ... + 5490315.

It is an arithmetic number, because the mean of its divisors is an integer number (460664300816).

Almost surely, 2^{12835872826992} is an apocalyptic number.

12835872826992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12835872826992 is an abundant number, since it is smaller than the sum of its proper divisors (24017271238288).

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

12835872826992 is a wasteful number, since it uses less digits than its factorization.

12835872826992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608907 (or 7608895 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 12835872826992 in words is "twelve trillion, eight hundred thirty-five billion, eight hundred seventy-two million, eight hundred twenty-six thousand, nine hundred ninety-two".