13589335120 has 20 divisors (see below), whose sum is σ = 31595204340. Its totient is φ = 5435734016.

The previous prime is 13589335117. The next prime is 13589335141. The reversal of 13589335120 is 2153398531.

13589335120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6332339776 + 7256995344 = 79576^2 + 85188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 84933265 + ... + 84933424.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760217).

Almost surely, 2^13589335120 is an apocalyptic number.

13589335120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13589335120 is an abundant number, since it is smaller than the sum of its proper divisors (18005869220).

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

13589335120 is a wasteful number, since it uses less digits than its factorization.

13589335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169866702 (or 169866696 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 13589335120 in words is "thirteen billion, five hundred eighty-nine million, three hundred thirty-five thousand, one hundred twenty".