12409336827759 has 16 divisors (see below), whose sum is σ = 16575499336032. Its totient is φ = 8258039467008.

The previous prime is 12409336827757. The next prime is 12409336827781. The reversal of 12409336827759 is 95772863390421.

It is not a de Polignac number, because 12409336827759 - 2¹ = 12409336827757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12409336827759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12409336827757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6595459 + ... + 8265515.

It is an arithmetic number, because the mean of its divisors is an integer number (1035968708502).

It is a 1-persistent number, because it is pandigital, but 2⋅12409336827759 = 24818673655518 is not.

Almost surely, 2^{12409336827759} is an apocalyptic number.

12409336827759 is a deficient number, since it is larger than the sum of its proper divisors (4166162508273).

12409336827759 is a wasteful number, since it uses less digits than its factorization.

12409336827759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674506.

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 12409336827759 in words is "twelve trillion, four hundred nine billion, three hundred thirty-six million, eight hundred twenty-seven thousand, seven hundred fifty-nine".