12659256720 has 800 divisors, whose sum is σ = 52579777536. Its totient is φ = 2786918400.

The previous prime is 12659256691. The next prime is 12659256733. The reversal of 12659256720 is 2765295621.

12659256720 is a `hidden beast` number, since 1 + 2 + 6 + 592 + 56 + 7 + 2 + 0 = 666.

12659256720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 37564392 + ... + 37564728.

Almost surely, 2^12659256720 is an apocalyptic number.

12659256720 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 12659256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26289888768).

12659256720 is an abundant number, since it is smaller than the sum of its proper divisors (39920520816).

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

12659256720 is a wasteful number, since it uses less digits than its factorization.

12659256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12659256720 in words is "twelve billion, six hundred fifty-nine million, two hundred fifty-six thousand, seven hundred twenty".