19820832192 has 280 divisors, whose sum is σ = 67813464576. Its totient is φ = 5607055872.

The previous prime is 19820832191. The next prime is 19820832193. The reversal of 19820832192 is 29123802891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19820832191) and next prime (19820832193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19820832191) 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 39 ways as a sum of consecutive naturals, for example, 3735013 + ... + 3740315.

Almost surely, 2^19820832192 is an apocalyptic number.

19820832192 is a gapful number since it is divisible by the number (12) 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 19820832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33906732288).

19820832192 is an abundant number, since it is smaller than the sum of its proper divisors (47992632384).

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

19820832192 is a wasteful number, since it uses less digits than its factorization.

19820832192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 198208 and 32192, that added together give a square (230400 = 480²).

The spelling of 19820832192 in words is "nineteen billion, eight hundred twenty million, eight hundred thirty-two thousand, one hundred ninety-two".