13680128579 has 16 divisors (see below), whose sum is σ = 14825373024. Its totient is φ = 12548390400.

The previous prime is 13680128551. The next prime is 13680128597. The reversal of 13680128579 is 97582108631.

13680128579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13680128579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13680128519) 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 15 ways as a sum of consecutive naturals, for example, 1533857 + ... + 1542749.

It is an arithmetic number, because the mean of its divisors is an integer number (926585814).

Almost surely, 2^13680128579 is an apocalyptic number.

13680128579 is a deficient number, since it is larger than the sum of its proper divisors (1145244445).

13680128579 is a wasteful number, since it uses less digits than its factorization.

13680128579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638.

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 13680128579 in words is "thirteen billion, six hundred eighty million, one hundred twenty-eight thousand, five hundred seventy-nine".