13589997120 has 1008 divisors, whose sum is σ = 58542082560. Its totient is φ = 2878267392.

The previous prime is 13589997101. The next prime is 13589997121. The reversal of 13589997120 is 2179998531.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (13589997121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172025241 + ... + 172025319.

Almost surely, 2^13589997120 is an apocalyptic number.

13589997120 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 13589997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29271041280).

13589997120 is an abundant number, since it is smaller than the sum of its proper divisors (44952085440).

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

13589997120 is a wasteful number, since it uses less digits than its factorization.

13589997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 13589997120 in words is "thirteen billion, five hundred eighty-nine million, nine hundred ninety-seven thousand, one hundred twenty".