12990687630336 has 528 divisors, whose sum is σ = 40785185226240. Its totient is φ = 3982350827520.

The previous prime is 12990687630301. The next prime is 12990687630439. The reversal of 12990687630336 is 63303678609921.

12990687630336 is a `hidden beast` number, since 1 + 299 + 0 + 6 + 8 + 7 + 6 + 3 + 0 + 336 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6296987641 + ... + 6296989703.

Almost surely, 2^{12990687630336} is an apocalyptic number.

12990687630336 is a gapful number since it is divisible by the number (16) 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 12990687630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392592613120).

12990687630336 is an abundant number, since it is smaller than the sum of its proper divisors (27794497595904).

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

12990687630336 is a wasteful number, since it uses less digits than its factorization.

12990687630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 12990687630336 in words is "twelve trillion, nine hundred ninety billion, six hundred eighty-seven million, six hundred thirty thousand, three hundred thirty-six".