13289155608960 has 4096 divisors, whose sum is σ = 63106980249600. Its totient is φ = 2563964928000.

The previous prime is 13289155608943. The next prime is 13289155608977. The reversal of 13289155608960 is 6980655198231.

13289155608960 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 9 + 1 + 5 + 560 + 8 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13289155608943) and next prime (13289155608977).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 182043227484 + ... + 182043227556.

It is an arithmetic number, because the mean of its divisors is an integer number (15406977600).

Almost surely, 2^{13289155608960} is an apocalyptic number.

13289155608960 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 13289155608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31553490124800).

13289155608960 is an abundant number, since it is smaller than the sum of its proper divisors (49817824640640).

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

13289155608960 is a wasteful number, since it uses less digits than its factorization.

13289155608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 13289155608960 in words is "thirteen trillion, two hundred eighty-nine billion, one hundred fifty-five million, six hundred eight thousand, nine hundred sixty".