13631360288 has 96 divisors (see below), whose sum is σ = 33111267840. Its totient is φ = 5379333120.

The previous prime is 13631360287. The next prime is 13631360293. The reversal of 13631360288 is 88206313631.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13631360287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220393 + ... + 1231511.

It is an arithmetic number, because the mean of its divisors is an integer number (344909040).

Almost surely, 2^13631360288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13631360288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16555633920).

13631360288 is an abundant number, since it is smaller than the sum of its proper divisors (19479907552).

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

13631360288 is a wasteful number, since it uses less digits than its factorization.

13631360288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11570 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 13631360288 in words is "thirteen billion, six hundred thirty-one million, three hundred sixty thousand, two hundred eighty-eight".