82788066567 has 6 divisors (see below), whose sum is σ = 119582762832. Its totient is φ = 55192044372.

The previous prime is 82788066547. The next prime is 82788066577. The reversal of 82788066567 is 76566088728.

82788066567 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 8 + 0 + 66 + 567 = 666.

It is not a de Polignac number, because 82788066567 - 2¹¹ = 82788064519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82788066547) 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 5 ways as a sum of consecutive naturals, for example, 4599337023 + ... + 4599337040.

It is an arithmetic number, because the mean of its divisors is an integer number (19930460472).

Almost surely, 2^82788066567 is an apocalyptic number.

82788066567 is a deficient number, since it is larger than the sum of its proper divisors (36794696265).

82788066567 is a wasteful number, since it uses less digits than its factorization.

82788066567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198674069 (or 9198674066 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 82788066567 in words is "eighty-two billion, seven hundred eighty-eight million, sixty-six thousand, five hundred sixty-seven".