82666505588351 has 8 divisors (see below), whose sum is σ = 85792049272800. Its totient is φ = 79559293539040.

The previous prime is 82666505588279. The next prime is 82666505588357. The reversal of 82666505588351 is 15388550566628.

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 82666505588351 - 2³⁴ = 82649325719167 is a prime.

It is a super-2 number, since 2×82666505588351² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82666505588357) 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 7 ways as a sum of consecutive naturals, for example, 4582899596 + ... + 4582917633.

It is an arithmetic number, because the mean of its divisors is an integer number (10724006159100).

Almost surely, 2^{82666505588351} is an apocalyptic number.

82666505588351 is a deficient number, since it is larger than the sum of its proper divisors (3125543684449).

82666505588351 is a wasteful number, since it uses less digits than its factorization.

82666505588351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165817569.

The product of its (nonzero) digits is 414720000, while the sum is 68.

The spelling of 82666505588351 in words is "eighty-two trillion, six hundred sixty-six billion, five hundred five million, five hundred eighty-eight thousand, three hundred fifty-one".