12426707928960 has 768 divisors, whose sum is σ = 46886430951360. Its totient is φ = 3014529122304.

The previous prime is 12426707928959. The next prime is 12426707929057. The reversal of 12426707928960 is 6982970762421.

12426707928960 is a `hidden beast` number, since 1 + 2 + 426 + 7 + 0 + 79 + 2 + 89 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1578391584 + ... + 1578399456.

Almost surely, 2^{12426707928960} is an apocalyptic number.

12426707928960 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 12426707928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23443215475680).

12426707928960 is an abundant number, since it is smaller than the sum of its proper divisors (34459723022400).

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

12426707928960 is a wasteful number, since it uses less digits than its factorization.

12426707928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 12426707928960 in words is "twelve trillion, four hundred twenty-six billion, seven hundred seven million, nine hundred twenty-eight thousand, nine hundred sixty".