16759321795968 has 128 divisors (see below), whose sum is σ = 45059241254400. Its totient is φ = 5518638028800.

The previous prime is 16759321795927. The next prime is 16759321795969. The reversal of 16759321795968 is 86959712395761.

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

It is a junction number, because it is equal to n+sod(n) for n = 16759321795893 and 16759321795902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16759321795969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16693593 + ... + 17669031.

It is an arithmetic number, because the mean of its divisors is an integer number (352025322300).

Almost surely, 2^{16759321795968} 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 16759321795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22529620627200).

16759321795968 is an abundant number, since it is smaller than the sum of its proper divisors (28299919458432).

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

16759321795968 is a wasteful number, since it uses less digits than its factorization.

16759321795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976000 (or 975988 counting only the distinct ones).

The product of its digits is 1543147200, while the sum is 78.

The spelling of 16759321795968 in words is "sixteen trillion, seven hundred fifty-nine billion, three hundred twenty-one million, seven hundred ninety-five thousand, nine hundred sixty-eight".