12789919296 has 336 divisors, whose sum is σ = 46576902528. Its totient is φ = 3258777600.

The previous prime is 12789919253. The next prime is 12789919297. The reversal of 12789919296 is 69291998721.

12789919296 is a `hidden beast` number, since 1 + 278 + 99 + 192 + 96 = 666.

12789919296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12789919297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2347936 + ... + 2353376.

Almost surely, 2^12789919296 is an apocalyptic number.

12789919296 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 12789919296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23288451264).

12789919296 is an abundant number, since it is smaller than the sum of its proper divisors (33786983232).

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

12789919296 is a wasteful number, since it uses less digits than its factorization.

12789919296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5517 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 12789919296 in words is "twelve billion, seven hundred eighty-nine million, nine hundred nineteen thousand, two hundred ninety-six".