13800940800 has 216 divisors, whose sum is σ = 46779360096. Its totient is φ = 3580600320.

The previous prime is 13800940771. The next prime is 13800940817. The reversal of 13800940800 is 804900831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700687 + ... + 720113.

Almost surely, 2^13800940800 is an apocalyptic number.

13800940800 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 13800940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23389680048).

13800940800 is an abundant number, since it is smaller than the sum of its proper divisors (32978419296).

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

13800940800 is a wasteful number, since it uses less digits than its factorization.

13800940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19493 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 13800940800 in words is "thirteen billion, eight hundred million, nine hundred forty thousand, eight hundred".