13358985884000 has 192 divisors, whose sum is σ = 33733240212672. Its totient is φ = 5196261888000.

The previous prime is 13358985883939. The next prime is 13358985884093. The reversal of 13358985884000 is 48858985331.

It is a super-2 number, since 2×13358985884000² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 50215334 + ... + 50480666.

It is an arithmetic number, because the mean of its divisors is an integer number (175693959441).

Almost surely, 2^{13358985884000} is an apocalyptic number.

13358985884000 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 13358985884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866620106336).

13358985884000 is an abundant number, since it is smaller than the sum of its proper divisors (20374254328672).

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

13358985884000 is a wasteful number, since it uses less digits than its factorization.

13358985884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265706 (or 265688 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 62.

The spelling of 13358985884000 in words is "thirteen trillion, three hundred fifty-eight billion, nine hundred eighty-five million, eight hundred eighty-four thousand".