16085983680 has 336 divisors, whose sum is σ = 62723999520. Its totient is φ = 3751059456.

The previous prime is 16085983679. The next prime is 16085983691. The reversal of 16085983680 is 8638958061.

16085983680 is a `hidden beast` number, since 16 + 0 + 8 + 598 + 36 + 8 + 0 = 666.

16085983680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 700054 + ... + 722666.

It is an arithmetic number, because the mean of its divisors is an integer number (186678570).

Almost surely, 2^16085983680 is an apocalyptic number.

16085983680 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 16085983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31361999760).

16085983680 is an abundant number, since it is smaller than the sum of its proper divisors (46638015840).

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

16085983680 is a wasteful number, since it uses less digits than its factorization.

16085983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22668 (or 22655 counting only the distinct ones).

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

The spelling of 16085983680 in words is "sixteen billion, eighty-five million, nine hundred eighty-three thousand, six hundred eighty".