16584816960 has 224 divisors, whose sum is σ = 60525964800. Its totient is φ = 4270049280.

The previous prime is 16584816953. The next prime is 16584816961. The reversal of 16584816960 is 6961848561.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16584816897 and 16584816906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16584816961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217465 + ... + 283655.

It is an arithmetic number, because the mean of its divisors is an integer number (270205200).

Almost surely, 2^16584816960 is an apocalyptic number.

16584816960 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 16584816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30262982400).

16584816960 is an abundant number, since it is smaller than the sum of its proper divisors (43941147840).

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

16584816960 is a wasteful number, since it uses less digits than its factorization.

16584816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66246 (or 66230 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 16584816960 in words is "sixteen billion, five hundred eighty-four million, eight hundred sixteen thousand, nine hundred sixty".