16859378304 has 192 divisors, whose sum is σ = 51384939840. Its totient is φ = 5294665728.

The previous prime is 16859378299. The next prime is 16859378321. The reversal of 16859378304 is 40387395861.

16859378304 is a `hidden beast` number, since 16 + 8 + 593 + 7 + 8 + 30 + 4 = 666.

16859378304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1770484 + ... + 1779980.

It is an arithmetic number, because the mean of its divisors is an integer number (267629895).

Almost surely, 2^16859378304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16859378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25692469920).

16859378304 is an abundant number, since it is smaller than the sum of its proper divisors (34525561536).

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

16859378304 is a wasteful number, since it uses less digits than its factorization.

16859378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 16859378304 in words is "sixteen billion, eight hundred fifty-nine million, three hundred seventy-eight thousand, three hundred four".