16813859904 has 224 divisors, whose sum is σ = 51344657280. Its totient is φ = 5391360000.

The previous prime is 16813859903. The next prime is 16813859921. The reversal of 16813859904 is 40995831861.

16813859904 is a `hidden beast` number, since 16 + 8 + 1 + 38 + 599 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16813859903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5170279 + ... + 5173529.

It is an arithmetic number, because the mean of its divisors is an integer number (229217220).

Almost surely, 2^16813859904 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 16813859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25672328640).

16813859904 is an abundant number, since it is smaller than the sum of its proper divisors (34530797376).

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

16813859904 is a wasteful number, since it uses less digits than its factorization.

16813859904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 16813859904 in words is "sixteen billion, eight hundred thirteen million, eight hundred fifty-nine thousand, nine hundred four".