19683085968 has 240 divisors, whose sum is σ = 70778386560. Its totient is φ = 5191070976.

The previous prime is 19683085963. The next prime is 19683085991. The reversal of 19683085968 is 86958038691.

19683085968 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 30 + 8 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19683085963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 239421 + ... + 310947.

It is an arithmetic number, because the mean of its divisors is an integer number (294909944).

Almost surely, 2^19683085968 is an apocalyptic number.

19683085968 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 19683085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35389193280).

19683085968 is an abundant number, since it is smaller than the sum of its proper divisors (51095300592).

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

19683085968 is a wasteful number, since it uses less digits than its factorization.

19683085968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71571 (or 71552 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 19683085968 in words is "nineteen billion, six hundred eighty-three million, eighty-five thousand, nine hundred sixty-eight".