16872081408000 has 2880 divisors, whose sum is σ = 78318687283200. Its totient is φ = 3552391987200.

The previous prime is 16872081407981. The next prime is 16872081408047. The reversal of 16872081408000 is 80418027861.

16872081408000 is a `hidden beast` number, since 168 + 7 + 2 + 0 + 81 + 408 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 35223551761 + ... + 35223552239.

It is an arithmetic number, because the mean of its divisors is an integer number (27193988640).

Almost surely, 2^{16872081408000} is an apocalyptic number.

16872081408000 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 16872081408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39159343641600).

16872081408000 is an abundant number, since it is smaller than the sum of its proper divisors (61446605875200).

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

16872081408000 is an equidigital number, since it uses as much as digits as its factorization.

16872081408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 16872081408000 in words is "sixteen trillion, eight hundred seventy-two billion, eighty-one million, four hundred eight thousand".