19420839936 has 256 divisors, whose sum is σ = 58467705600. Its totient is φ = 6449725440.

The previous prime is 19420839923. The next prime is 19420839937. The reversal of 19420839936 is 63993802491.

19420839936 is a `hidden beast` number, since 19 + 4 + 208 + 399 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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 (19420839937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71663481 + ... + 71663751.

It is an arithmetic number, because the mean of its divisors is an integer number (228389475).

Almost surely, 2^19420839936 is an apocalyptic number.

19420839936 is a gapful number since it is divisible by the number (16) 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 19420839936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29233852800).

19420839936 is an abundant number, since it is smaller than the sum of its proper divisors (39046865664).

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

19420839936 is an frugal number, since it uses more digits than its factorization.

19420839936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 19420839936 in words is "nineteen billion, four hundred twenty million, eight hundred thirty-nine thousand, nine hundred thirty-six".