19385252208 has 480 divisors, whose sum is σ = 68791430400. Its totient is φ = 5196731904.

The previous prime is 19385252179. The next prime is 19385252209. The reversal of 19385252208 is 80225258391.

19385252208 is a `hidden beast` number, since 19 + 385 + 2 + 52 + 208 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19385252209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63143991 + ... + 63144297.

It is an arithmetic number, because the mean of its divisors is an integer number (143315480).

Almost surely, 2^19385252208 is an apocalyptic number.

19385252208 is a gapful number since it is divisible by the number (18) 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 19385252208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34395715200).

19385252208 is an abundant number, since it is smaller than the sum of its proper divisors (49406178192).

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

19385252208 is a wasteful number, since it uses less digits than its factorization.

19385252208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 19385252208 in words is "nineteen billion, three hundred eighty-five million, two hundred fifty-two thousand, two hundred eight".