82087966816129 has 8 divisors (see below), whose sum is σ = 82584294007680. Its totient is φ = 81593055680400.

The previous prime is 82087966816127. The next prime is 82087966816151. The reversal of 82087966816129 is 92161866978028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82087966816129 - 2¹ = 82087966816127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82087966816127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353897667 + ... + 354129544.

It is an arithmetic number, because the mean of its divisors is an integer number (10323036750960).

Almost surely, 2^{82087966816129} is an apocalyptic number.

It is an amenable number.

82087966816129 is a deficient number, since it is larger than the sum of its proper divisors (496327191551).

82087966816129 is a wasteful number, since it uses less digits than its factorization.

82087966816129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708027911.

The product of its (nonzero) digits is 250822656, while the sum is 73.

The spelling of 82087966816129 in words is "eighty-two trillion, eighty-seven billion, nine hundred sixty-six million, eight hundred sixteen thousand, one hundred twenty-nine".