13632116160 has 224 divisors, whose sum is σ = 47096062272. Its totient is φ = 3320709120.

The previous prime is 13632116153. The next prime is 13632116161. The reversal of 13632116160 is 6161123631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13632116161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204930 + ... + 1216190.

It is an arithmetic number, because the mean of its divisors is an integer number (210250278).

Almost surely, 2^13632116160 is an apocalyptic number.

13632116160 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 13632116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548031136).

13632116160 is an abundant number, since it is smaller than the sum of its proper divisors (33463946112).

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

13632116160 is a wasteful number, since it uses less digits than its factorization.

13632116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 13632116160 its reverse (6161123631), we get a palindrome (19793239791).

The spelling of 13632116160 in words is "thirteen billion, six hundred thirty-two million, one hundred sixteen thousand, one hundred sixty".