13998059712000 has 3840 divisors, whose sum is σ = 65998498325760. Its totient is φ = 2934625075200.

The previous prime is 13998059711983. The next prime is 13998059712079. The reversal of 13998059712000 is 21795089931.

13998059712000 is a `hidden beast` number, since 1 + 39 + 9 + 8 + 0 + 597 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89159615922 + ... + 89159616078.

It is an arithmetic number, because the mean of its divisors is an integer number (17187108939).

Almost surely, 2^{13998059712000} is an apocalyptic number.

13998059712000 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 13998059712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32999249162880).

13998059712000 is an abundant number, since it is smaller than the sum of its proper divisors (52000438613760).

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

13998059712000 is an frugal number, since it uses more digits than its factorization.

13998059712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 13998059712000 in words is "thirteen trillion, nine hundred ninety-eight billion, fifty-nine million, seven hundred twelve thousand".