82668286734825 has 96 divisors (see below), whose sum is σ = 151937467344000. Its totient is φ = 39323160576000.

The previous prime is 82668286734823. The next prime is 82668286734833. The reversal of 82668286734825 is 52843768286628.

It is not a de Polignac number, because 82668286734825 - 2¹ = 82668286734823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82668286734823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17465001 + ... + 21687849.

It is an arithmetic number, because the mean of its divisors is an integer number (1582681951500).

Almost surely, 2^{82668286734825} is an apocalyptic number.

It is an amenable number.

82668286734825 is a deficient number, since it is larger than the sum of its proper divisors (69269180609175).

82668286734825 is a wasteful number, since it uses less digits than its factorization.

82668286734825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223323 (or 4223318 counting only the distinct ones).

The product of its digits is 2972712960, while the sum is 75.

The spelling of 82668286734825 in words is "eighty-two trillion, six hundred sixty-eight billion, two hundred eighty-six million, seven hundred thirty-four thousand, eight hundred twenty-five".