19932381504 has 420 divisors, whose sum is σ = 69372784800. Its totient is φ = 5642058240.

The previous prime is 19932381467. The next prime is 19932381517. The reversal of 19932381504 is 40518323991.

It is a happy number.

19932381504 is a `hidden beast` number, since 199 + 32 + 381 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19932381504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33275797 + ... + 33276395.

Almost surely, 2^19932381504 is an apocalyptic number.

19932381504 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 19932381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34686392400).

19932381504 is an abundant number, since it is smaller than the sum of its proper divisors (49440403296).

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

19932381504 is a wasteful number, since it uses less digits than its factorization.

19932381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19932381504 in words is "nineteen billion, nine hundred thirty-two million, three hundred eighty-one thousand, five hundred four".