13599903360 has 256 divisors, whose sum is σ = 45847710720. Its totient is φ = 3423436800.

The previous prime is 13599903337. The next prime is 13599903397. The reversal of 13599903360 is 6330999531.

It is a super-3 number, since 3×13599903360³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437534 + ... + 2443106.

It is an arithmetic number, because the mean of its divisors is an integer number (179092620).

Almost surely, 2^13599903360 is an apocalyptic number.

13599903360 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 13599903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923855360).

13599903360 is an abundant number, since it is smaller than the sum of its proper divisors (32247807360).

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

13599903360 is a wasteful number, since it uses less digits than its factorization.

13599903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 590490, while the sum is 48.

The spelling of 13599903360 in words is "thirteen billion, five hundred ninety-nine million, nine hundred three thousand, three hundred sixty".