13999280803200 has 5760 divisors, whose sum is σ = 71369658835200. Its totient is φ = 2621096755200.

The previous prime is 13999280803169. The next prime is 13999280803259. The reversal of 13999280803200 is 230808299931.

13999280803200 is a `hidden beast` number, since 1 + 39 + 9 + 9 + 280 + 8 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 208944489567 + ... + 208944489633.

It is an arithmetic number, because the mean of its divisors is an integer number (12390565770).

Almost surely, 2^{13999280803200} is an apocalyptic number.

13999280803200 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 13999280803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35684829417600).

13999280803200 is an abundant number, since it is smaller than the sum of its proper divisors (57370378032000).

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

13999280803200 is a wasteful number, since it uses less digits than its factorization.

13999280803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13999280803200 in words is "thirteen trillion, nine hundred ninety-nine billion, two hundred eighty million, eight hundred three thousand, two hundred".