82710689193 has 16 divisors (see below), whose sum is σ = 133673841600. Its totient is φ = 50127690240.

The previous prime is 82710689143. The next prime is 82710689209. The reversal of 82710689193 is 39198601728.

It is not a de Polignac number, because 82710689193 - 2⁸ = 82710688937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82710689123) 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 15 ways as a sum of consecutive naturals, for example, 139243288 + ... + 139243881.

It is an arithmetic number, because the mean of its divisors is an integer number (8354615100).

Almost surely, 2^82710689193 is an apocalyptic number.

It is an amenable number.

82710689193 is a deficient number, since it is larger than the sum of its proper divisors (50963152407).

82710689193 is a wasteful number, since it uses less digits than its factorization.

82710689193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278487189 (or 278487183 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

It can be divided in two parts, 82710 and 689193, that added together give a triangular number (771903 = T₁₂₄₂).

The spelling of 82710689193 in words is "eighty-two billion, seven hundred ten million, six hundred eighty-nine thousand, one hundred ninety-three".