13980227788800 has 3360 divisors, whose sum is σ = 65323600376160. Its totient is φ = 2949674434560.

The previous prime is 13980227788733. The next prime is 13980227788847. The reversal of 13980227788800 is 888772208931.

13980227788800 is a `hidden beast` number, since 1 + 398 + 0 + 22 + 77 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1075402137594 + ... + 1075402137606.

It is an arithmetic number, because the mean of its divisors is an integer number (19441547731).

Almost surely, 2^{13980227788800} is an apocalyptic number.

13980227788800 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 13980227788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32661800188080).

13980227788800 is an abundant number, since it is smaller than the sum of its proper divisors (51343372587360).

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

13980227788800 is an frugal number, since it uses more digits than its factorization.

13980227788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 13980227788800 in words is "thirteen trillion, nine hundred eighty billion, two hundred twenty-seven million, seven hundred eighty-eight thousand, eight hundred".