19806086304 has 144 divisors (see below), whose sum is σ = 58751233632. Its totient is φ = 6563420928.

The previous prime is 19806086299. The next prime is 19806086353. The reversal of 19806086304 is 40368060891.

19806086304 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 6 + 0 + 8 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×19806086304³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19806086304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337887 + ... + 1352609.

It is an arithmetic number, because the mean of its divisors is an integer number (407994678).

Almost surely, 2^19806086304 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 19806086304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29375616816).

19806086304 is an abundant number, since it is smaller than the sum of its proper divisors (38945147328).

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

19806086304 is a wasteful number, since it uses less digits than its factorization.

19806086304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 19806086304 in words is "nineteen billion, eight hundred six million, eighty-six thousand, three hundred four".