12976812173280 has 192 divisors, whose sum is σ = 41124615307776. Its totient is φ = 3439537920000.

The previous prime is 12976812173279. The next prime is 12976812173291. The reversal of 12976812173280 is 8237121867921.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12976812173280.

It is a congruent number.

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, 167726605 + ... + 167803955.

It is an arithmetic number, because the mean of its divisors is an integer number (214190704728).

Almost surely, 2^{12976812173280} is an apocalyptic number.

12976812173280 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 12976812173280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562307653888).

12976812173280 is an abundant number, since it is smaller than the sum of its proper divisors (28147803134496).

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

12976812173280 is a wasteful number, since it uses less digits than its factorization.

12976812173280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79481 (or 79473 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 12976812173280 in words is "twelve trillion, nine hundred seventy-six billion, eight hundred twelve million, one hundred seventy-three thousand, two hundred eighty".