13205288088928 has 24 divisors (see below), whose sum is σ = 27997750227888. Its totient is φ = 6094748348544.

The previous prime is 13205288088917. The next prime is 13205288088943. The reversal of 13205288088928 is 82988088250231.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13205288088928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15871740076 + ... + 15871740907.

It is an arithmetic number, because the mean of its divisors is an integer number (1166572926162).

Almost surely, 2^{13205288088928} is an apocalyptic number.

It is an amenable number.

13205288088928 is an abundant number, since it is smaller than the sum of its proper divisors (14792462138960).

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

13205288088928 is a wasteful number, since it uses less digits than its factorization.

13205288088928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31743481006 (or 31743480998 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 64.

The spelling of 13205288088928 in words is "thirteen trillion, two hundred five billion, two hundred eighty-eight million, eighty-eight thousand, nine hundred twenty-eight".