82789944966 has 112 divisors (see below), whose sum is σ = 192780017280. Its totient is φ = 26625646080.

The previous prime is 82789944907. The next prime is 82789944967. The reversal of 82789944966 is 66944998728.

It is a junction number, because it is equal to n+sod(n) for n = 82789944894 and 82789944903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82789944967) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 15952300 + ... + 15957488.

Almost surely, 2^82789944966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82789944966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390008640).

82789944966 is an abundant number, since it is smaller than the sum of its proper divisors (109990072314).

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

82789944966 is a wasteful number, since it uses less digits than its factorization.

82789944966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5578 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 82789944966 in words is "eighty-two billion, seven hundred eighty-nine million, nine hundred forty-four thousand, nine hundred sixty-six".