13632838800 has 360 divisors, whose sum is σ = 51891785856. Its totient is φ = 3049159680.

The previous prime is 13632838799. The next prime is 13632838819. The reversal of 13632838800 is 883823631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2761134 + ... + 2766066.

Almost surely, 2^13632838800 is an apocalyptic number.

13632838800 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 13632838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945892928).

13632838800 is an abundant number, since it is smaller than the sum of its proper divisors (38258947056).

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

13632838800 is a wasteful number, since it uses less digits than its factorization.

13632838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13632838800 in words is "thirteen billion, six hundred thirty-two million, eight hundred thirty-eight thousand, eight hundred".