13638307200 has 576 divisors, whose sum is σ = 53060889600. Its totient is φ = 3069480960.

The previous prime is 13638307153. The next prime is 13638307219. The reversal of 13638307200 is 270383631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37161417 + ... + 37161783.

It is an arithmetic number, because the mean of its divisors is an integer number (92119600).

Almost surely, 2^13638307200 is an apocalyptic number.

13638307200 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 13638307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26530444800).

13638307200 is an abundant number, since it is smaller than the sum of its proper divisors (39422582400).

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

13638307200 is a wasteful number, since it uses less digits than its factorization.

13638307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13638307200 in words is "thirteen billion, six hundred thirty-eight million, three hundred seven thousand, two hundred".