13788249984000 has 1056 divisors, whose sum is σ = 52133222643840. Its totient is φ = 3499474944000.

The previous prime is 13788249983999. The next prime is 13788249984013. The reversal of 13788249984000 is 48994288731.

13788249984000 is a `hidden beast` number, since 137 + 8 + 8 + 2 + 4 + 9 + 98 + 400 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2371965094 + ... + 2371970906.

Almost surely, 2^{13788249984000} is an apocalyptic number.

13788249984000 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 13788249984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066611321920).

13788249984000 is an abundant number, since it is smaller than the sum of its proper divisors (38344972659840).

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

13788249984000 is a wasteful number, since it uses less digits than its factorization.

13788249984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 13788249984000 in words is "thirteen trillion, seven hundred eighty-eight billion, two hundred forty-nine million, nine hundred eighty-four thousand".