12956935104 has 168 divisors, whose sum is σ = 37611100800. Its totient is φ = 4264445952.

The previous prime is 12956935073. The next prime is 12956935111. The reversal of 12956935104 is 40153965921.

12956935104 is a `hidden beast` number, since 1 + 295 + 6 + 9 + 351 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12956935104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19138414 + ... + 19139090.

It is an arithmetic number, because the mean of its divisors is an integer number (223875600).

Almost surely, 2^12956935104 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 12956935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805550400).

12956935104 is an abundant number, since it is smaller than the sum of its proper divisors (24654165696).

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

12956935104 is a wasteful number, since it uses less digits than its factorization.

12956935104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 12956935104 in words is "twelve billion, nine hundred fifty-six million, nine hundred thirty-five thousand, one hundred four".