16859947104 has 576 divisors, whose sum is σ = 64908200448. Its totient is φ = 4008960000.

The previous prime is 16859947073. The next prime is 16859947151. The reversal of 16859947104 is 40174995861.

16859947104 is a `hidden beast` number, since 1 + 6 + 8 + 599 + 47 + 1 + 0 + 4 = 666.

16859947104 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 95 ways as a sum of consecutive naturals, for example, 67170979 + ... + 67171229.

It is an arithmetic number, because the mean of its divisors is an integer number (112687848).

Almost surely, 2^16859947104 is an apocalyptic number.

16859947104 is a gapful number since it is divisible by the number (14) 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 16859947104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32454100224).

16859947104 is an abundant number, since it is smaller than the sum of its proper divisors (48048253344).

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

16859947104 is a wasteful number, since it uses less digits than its factorization.

16859947104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 16859947104 in words is "sixteen billion, eight hundred fifty-nine million, nine hundred forty-seven thousand, one hundred four".