13289184357120 has 432 divisors, whose sum is σ = 52584776741952. Its totient is φ = 3035381760000.

The previous prime is 13289184357109. The next prime is 13289184357167. The reversal of 13289184357120 is 2175348198231.

13289184357120 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 9 + 1 + 8 + 43 + 571 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115499620 + ... + 115614620.

It is an arithmetic number, because the mean of its divisors is an integer number (121724020236).

Almost surely, 2^{13289184357120} is an apocalyptic number.

13289184357120 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 13289184357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292388370976).

13289184357120 is an abundant number, since it is smaller than the sum of its proper divisors (39295592384832).

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

13289184357120 is a wasteful number, since it uses less digits than its factorization.

13289184357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116468 (or 116451 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13289184357120 in words is "thirteen trillion, two hundred eighty-nine billion, one hundred eighty-four million, three hundred fifty-seven thousand, one hundred twenty".