19538878968 has 240 divisors, whose sum is σ = 63833390280. Its totient is φ = 5567522688.

The previous prime is 19538878939. The next prime is 19538878987. The reversal of 19538878968 is 86987883591.

19538878968 is a `hidden beast` number, since 1 + 9 + 538 + 8 + 7 + 89 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19538878896 and 19538878905.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 17875830 + ... + 17876922.

Almost surely, 2^19538878968 is an apocalyptic number.

19538878968 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 19538878968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31916695140).

19538878968 is an abundant number, since it is smaller than the sum of its proper divisors (44294511312).

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

19538878968 is a wasteful number, since it uses less digits than its factorization.

19538878968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1668 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 19538878968 in words is "nineteen billion, five hundred thirty-eight million, eight hundred seventy-eight thousand, nine hundred sixty-eight".