13806508800 has 432 divisors, whose sum is σ = 53306865920. Its totient is φ = 3081093120.

The previous prime is 13806508787. The next prime is 13806508811. The reversal of 13806508800 is 880560831.

It is a happy number.

13806508800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5778006 + ... + 5780394.

Almost surely, 2^13806508800 is an apocalyptic number.

13806508800 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 13806508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26653432960).

13806508800 is an abundant number, since it is smaller than the sum of its proper divisors (39500357120).

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

13806508800 is a wasteful number, since it uses less digits than its factorization.

13806508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 13806508800 in words is "thirteen billion, eight hundred six million, five hundred eight thousand, eight hundred".