12959796818304 has 640 divisors, whose sum is σ = 46806740766720. Its totient is φ = 3474829393920.

The previous prime is 12959796818299. The next prime is 12959796818327. The reversal of 12959796818304 is 40381869795921.

12959796818304 is a `hidden beast` number, since 1 + 29 + 597 + 9 + 6 + 8 + 1 + 8 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 428110689 + ... + 428140959.

It is an arithmetic number, because the mean of its divisors is an integer number (73135532448).

It is a 1-persistent number, because it is pandigital, but 2⋅12959796818304 = 25919593636608 is not.

Almost surely, 2^{12959796818304} is an apocalyptic number.

12959796818304 is a gapful number since it is divisible by the number (14) 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 12959796818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23403370383360).

12959796818304 is an abundant number, since it is smaller than the sum of its proper divisors (33846943948416).

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

12959796818304 is a wasteful number, since it uses less digits than its factorization.

12959796818304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30668 (or 30647 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 12959796818304 in words is "twelve trillion, nine hundred fifty-nine billion, seven hundred ninety-six million, eight hundred eighteen thousand, three hundred four".