13759159407 has 16 divisors (see below), whose sum is σ = 21005110272. Its totient is φ = 7847837280.

The previous prime is 13759159397. The next prime is 13759159481. The reversal of 13759159407 is 70495195731.

13759159407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13759159407 - 2¹⁰ = 13759158383 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13759159407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13759155407) 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, 594183 + ... + 616904.

It is an arithmetic number, because the mean of its divisors is an integer number (1312819392).

Almost surely, 2^13759159407 is an apocalyptic number.

13759159407 is a deficient number, since it is larger than the sum of its proper divisors (7245950865).

13759159407 is a wasteful number, since it uses less digits than its factorization.

13759159407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211638.

The product of its (nonzero) digits is 1190700, while the sum is 51.

It can be divided in two parts, 13759 and 159407, that added together give a triangular number (173166 = T₅₈₈).

The spelling of 13759159407 in words is "thirteen billion, seven hundred fifty-nine million, one hundred fifty-nine thousand, four hundred seven".