19688116032 has 252 divisors, whose sum is σ = 62610417324. Its totient is φ = 5908930560.

The previous prime is 19688116001. The next prime is 19688116067. The reversal of 19688116032 is 23061188691.

It can be written as a sum of positive squares in 6 ways, for example, as 9522637056 + 10165478976 = 97584^2 + 100824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3988638 + ... + 3993570.

It is an arithmetic number, because the mean of its divisors is an integer number (248454037).

Almost surely, 2^19688116032 is an apocalyptic number.

19688116032 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 19688116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31305208662).

19688116032 is an abundant number, since it is smaller than the sum of its proper divisors (42922301292).

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

19688116032 is a wasteful number, since it uses less digits than its factorization.

19688116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 4992 counting only the distinct ones).

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

The spelling of 19688116032 in words is "nineteen billion, six hundred eighty-eight million, one hundred sixteen thousand, thirty-two".