16814082560 has 480 divisors, whose sum is σ = 48902870016. Its totient is φ = 5514854400.

The previous prime is 16814082559. The next prime is 16814082569. The reversal of 16814082560 is 6528041861.

It is not an unprimeable number, because it can be changed into a prime (16814082569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163243469 + ... + 163243571.

Almost surely, 2^16814082560 is an apocalyptic number.

16814082560 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 16814082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451435008).

16814082560 is an abundant number, since it is smaller than the sum of its proper divisors (32088787456).

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

16814082560 is a wasteful number, since it uses less digits than its factorization.

16814082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 16814082560 in words is "sixteen billion, eight hundred fourteen million, eighty-two thousand, five hundred sixty".