13985906688000 has 1600 divisors, whose sum is σ = 58626301843200. Its totient is φ = 3261490790400.

The previous prime is 13985906687927. The next prime is 13985906688011. The reversal of 13985906688000 is 88660958931.

13985906688000 is a `hidden beast` number, since 1 + 39 + 8 + 590 + 6 + 6 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736100351991 + ... + 736100352009.

It is an arithmetic number, because the mean of its divisors is an integer number (36641438652).

Almost surely, 2^{13985906688000} is an apocalyptic number.

13985906688000 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 13985906688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29313150921600).

13985906688000 is an abundant number, since it is smaller than the sum of its proper divisors (44640395155200).

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

13985906688000 is an frugal number, since it uses more digits than its factorization.

13985906688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 13985906688000 in words is "thirteen trillion, nine hundred eighty-five billion, nine hundred six million, six hundred eighty-eight thousand".