16859985408000 has 2080 divisors, whose sum is σ = 72433246279680. Its totient is φ = 3837586636800.

The previous prime is 16859985407977. The next prime is 16859985408041. The reversal of 16859985408000 is 80458995861.

16859985408000 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 9 + 9 + 8 + 540 + 80 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 70543871881 + ... + 70543872119.

It is an arithmetic number, because the mean of its divisors is an integer number (34823676096).

Almost surely, 2^{16859985408000} is an apocalyptic number.

16859985408000 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 16859985408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36216623139840).

16859985408000 is an abundant number, since it is smaller than the sum of its proper divisors (55573260871680).

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

16859985408000 is an frugal number, since it uses more digits than its factorization.

16859985408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 16859985408000 in words is "sixteen trillion, eight hundred fifty-nine billion, nine hundred eighty-five million, four hundred eight thousand".