16809984000 has 608 divisors, whose sum is σ = 65431017600. Its totient is φ = 4246732800.

The previous prime is 16809983999. The next prime is 16809984017. The reversal of 16809984000 is 48990861.

It is a tau number, because it is divible by the number of its divisors (608).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 16809984000 = 320³ + 2560³ = 1440³ + 2400³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884735991 + ... + 884736009.

Almost surely, 2^16809984000 is an apocalyptic number.

16809984000 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 16809984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32715508800).

16809984000 is an abundant number, since it is smaller than the sum of its proper divisors (48621033600).

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

16809984000 is an frugal number, since it uses more digits than its factorization.

16809984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 16809984000 in words is "sixteen billion, eight hundred nine million, nine hundred eighty-four thousand".