13497880032 has 288 divisors, whose sum is σ = 47953930752. Its totient is φ = 3506291712.

The previous prime is 13497880013. The next prime is 13497880049. The reversal of 13497880032 is 23008879431.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13497880032.

It is a congruent number.

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, 1752093 + ... + 1759779.

It is an arithmetic number, because the mean of its divisors is an integer number (166506704).

Almost surely, 2^13497880032 is an apocalyptic number.

13497880032 is a gapful number since it is divisible by the number (12) 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 13497880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976965376).

13497880032 is an abundant number, since it is smaller than the sum of its proper divisors (34456050720).

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

13497880032 is a wasteful number, since it uses less digits than its factorization.

13497880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13497880032 in words is "thirteen billion, four hundred ninety-seven million, eight hundred eighty thousand, thirty-two".