19849826304 has 936 divisors, whose sum is σ = 77495771808. Its totient is φ = 5016453120.

The previous prime is 19849826273. The next prime is 19849826309. The reversal of 19849826304 is 40362894891.

19849826304 is a `hidden beast` number, since 1 + 98 + 498 + 2 + 63 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19849826309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 536481774 + ... + 536481810.

It is an arithmetic number, because the mean of its divisors is an integer number (82794628).

Almost surely, 2^19849826304 is an apocalyptic number.

19849826304 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 19849826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747885904).

19849826304 is an abundant number, since it is smaller than the sum of its proper divisors (57645945504).

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

19849826304 is an equidigital number, since it uses as much as digits as its factorization.

19849826304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 19849826304 in words is "nineteen billion, eight hundred forty-nine million, eight hundred twenty-six thousand, three hundred four".