82716261728 has 24 divisors (see below), whose sum is σ = 162857459520. Its totient is φ = 41355637120.

The previous prime is 82716261713. The next prime is 82716261737.

82716261728 is nontrivially palindromic in base 10.

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 3 ways as a sum of consecutive naturals, for example, 535313 + ... + 672303.

It is an arithmetic number, because the mean of its divisors is an integer number (6785727480).

Almost surely, 2^82716261728 is an apocalyptic number.

It is an amenable number.

82716261728 is a deficient number, since it is larger than the sum of its proper divisors (80141197792).

82716261728 is a wasteful number, since it uses less digits than its factorization.

82716261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155870 (or 155862 counting only the distinct ones).

The product of its digits is 903168, while the sum is 50.

The spelling of 82716261728 in words is "eighty-two billion, seven hundred sixteen million, two hundred sixty-one thousand, seven hundred twenty-eight".