13388965200 has 480 divisors, whose sum is σ = 52438310400. Its totient is φ = 3224033280.

The previous prime is 13388965157. The next prime is 13388965217. The reversal of 13388965200 is 256988331.

It is a happy number.

13388965200 is a `hidden beast` number, since 1 + 3 + 38 + 8 + 96 + 520 + 0 = 666.

It is a super-2 number, since 2×13388965200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6597786 + ... + 6599814.

It is an arithmetic number, because the mean of its divisors is an integer number (109246480).

Almost surely, 2^13388965200 is an apocalyptic number.

13388965200 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 13388965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26219155200).

13388965200 is an abundant number, since it is smaller than the sum of its proper divisors (39049345200).

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

13388965200 is a wasteful number, since it uses less digits than its factorization.

13388965200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13388965200 in words is "thirteen billion, three hundred eighty-eight million, nine hundred sixty-five thousand, two hundred".