19753909668768 has 288 divisors, whose sum is σ = 58522172841216. Its totient is φ = 5826484224000.

The previous prime is 19753909668763. The next prime is 19753909668803. The reversal of 19753909668768 is 86786690935791.

It is not an unprimeable number, because it can be changed into a prime (19753909668763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206170953 + ... + 206266743.

It is an arithmetic number, because the mean of its divisors is an integer number (203201989032).

Almost surely, 2^{19753909668768} 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 19753909668768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29261086420608).

19753909668768 is an abundant number, since it is smaller than the sum of its proper divisors (38768263172448).

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

19753909668768 is a wasteful number, since it uses less digits than its factorization.

19753909668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96300 (or 96281 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 84.

The spelling of 19753909668768 in words is "nineteen trillion, seven hundred fifty-three billion, nine hundred nine million, six hundred sixty-eight thousand, seven hundred sixty-eight".