16894039680 has 768 divisors, whose sum is σ = 72176832000. Its totient is φ = 3627122688.

The previous prime is 16894039667. The next prime is 16894039699. The reversal of 16894039680 is 8693049861.

16894039680 is a `hidden beast` number, since 168 + 94 + 0 + 396 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33586309 + ... + 33586811.

It is an arithmetic number, because the mean of its divisors is an integer number (93980250).

Almost surely, 2^16894039680 is an apocalyptic number.

16894039680 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 16894039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088416000).

16894039680 is an abundant number, since it is smaller than the sum of its proper divisors (55282792320).

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

16894039680 is a wasteful number, since it uses less digits than its factorization.

16894039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16894039680 in words is "sixteen billion, eight hundred ninety-four million, thirty-nine thousand, six hundred eighty".