19838420064 has 144 divisors (see below), whose sum is σ = 58250949120. Its totient is φ = 6400235520.

The previous prime is 19838420059. The next prime is 19838420093. The reversal of 19838420064 is 46002483891.

It is a happy number.

19838420064 is a `hidden beast` number, since 1 + 9 + 8 + 384 + 200 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1493002 + ... + 1506230.

It is an arithmetic number, because the mean of its divisors is an integer number (404520480).

Almost surely, 2^19838420064 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 19838420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125474560).

19838420064 is an abundant number, since it is smaller than the sum of its proper divisors (38412529056).

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

19838420064 is a wasteful number, since it uses less digits than its factorization.

19838420064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13413 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 19838420064 in words is "nineteen billion, eight hundred thirty-eight million, four hundred twenty thousand, sixty-four".