13802104800 has 432 divisors, whose sum is σ = 53396113680. Its totient is φ = 3326976000.

The previous prime is 13802104787. The next prime is 13802104807. The reversal of 13802104800 is 840120831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13802104807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18136420 + ... + 18137180.

It is an arithmetic number, because the mean of its divisors is an integer number (123602115).

Almost surely, 2^13802104800 is an apocalyptic number.

13802104800 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 13802104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26698056840).

13802104800 is an abundant number, since it is smaller than the sum of its proper divisors (39594008880).

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

13802104800 is a wasteful number, since it uses less digits than its factorization.

13802104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 13802104800 in words is "thirteen billion, eight hundred two million, one hundred four thousand, eight hundred".