12966830784 has 448 divisors, whose sum is σ = 43188940800. Its totient is φ = 3793305600.

The previous prime is 12966830777. The next prime is 12966830837. The reversal of 12966830784 is 48703866921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12966830784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26408779 + ... + 26409269.

Almost surely, 2^12966830784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12966830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21594470400).

12966830784 is an abundant number, since it is smaller than the sum of its proper divisors (30222110016).

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

12966830784 is a wasteful number, since it uses less digits than its factorization.

12966830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12966830784 in words is "twelve billion, nine hundred sixty-six million, eight hundred thirty thousand, seven hundred eighty-four".