16809984172800 has 4536 divisors, whose sum is σ = 82155802171296. Its totient is φ = 3313725603840.

The previous prime is 16809984172703. The next prime is 16809984172823. The reversal of 16809984172800 is 827148990861.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 503 ways as a sum of consecutive naturals, for example, 122700614332 + ... + 122700614468.

Almost surely, 2^{16809984172800} is an apocalyptic number.

16809984172800 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 16809984172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41077901085648).

16809984172800 is an abundant number, since it is smaller than the sum of its proper divisors (65345817998496).

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

16809984172800 is a wasteful number, since it uses less digits than its factorization.

16809984172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 16809984172800 in words is "sixteen trillion, eight hundred nine billion, nine hundred eighty-four million, one hundred seventy-two thousand, eight hundred".