19681761152 has 128 divisors (see below), whose sum is σ = 42608125440. Its totient is φ = 9021063168.

The previous prime is 19681761133. The next prime is 19681761161. The reversal of 19681761152 is 25116718691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19681761097 and 19681761106.

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 15 ways as a sum of consecutive naturals, for example, 18105953 + ... + 18107039.

It is an arithmetic number, because the mean of its divisors is an integer number (332875980).

Almost surely, 2^19681761152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19681761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304062720).

19681761152 is an abundant number, since it is smaller than the sum of its proper divisors (22926364288).

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

19681761152 is a wasteful number, since it uses less digits than its factorization.

19681761152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1316 counting only the distinct ones).

The product of its digits is 181440, while the sum is 47.

The spelling of 19681761152 in words is "nineteen billion, six hundred eighty-one million, seven hundred sixty-one thousand, one hundred fifty-two".