12800737447680 has 2304 divisors, whose sum is σ = 53279581888512. Its totient is φ = 2548039680000.

The previous prime is 12800737447661. The next prime is 12800737447711. The reversal of 12800737447680 is 8674473700821.

It is a self number, because there is not a number n which added to its sum of digits gives 12800737447680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84773095605 + ... + 84773095755.

It is an arithmetic number, because the mean of its divisors is an integer number (23124818528).

Almost surely, 2^{12800737447680} is an apocalyptic number.

12800737447680 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 12800737447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26639790944256).

12800737447680 is an abundant number, since it is smaller than the sum of its proper divisors (40478844440832).

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

12800737447680 is a wasteful number, since it uses less digits than its factorization.

12800737447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 12800737447680 in words is "twelve trillion, eight hundred billion, seven hundred thirty-seven million, four hundred forty-seven thousand, six hundred eighty".