82689731356005 has 64 divisors (see below), whose sum is σ = 147540066935040. Its totient is φ = 43940387635200.

The previous prime is 82689731356003. The next prime is 82689731356021. The reversal of 82689731356005 is 50065313798628.

82689731356005 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 9 + 7 + 3 + 13 + 5 + 600 + 5 = 666.

It is not a de Polignac number, because 82689731356005 - 2¹ = 82689731356003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82689731356003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461237914 + ... + 461417156.

It is an arithmetic number, because the mean of its divisors is an integer number (2305313545860).

Almost surely, 2^{82689731356005} is an apocalyptic number.

It is an amenable number.

82689731356005 is a deficient number, since it is larger than the sum of its proper divisors (64850335579035).

82689731356005 is a wasteful number, since it uses less digits than its factorization.

82689731356005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191699 (or 191693 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 82689731356005 in words is "eighty-two trillion, six hundred eighty-nine billion, seven hundred thirty-one million, three hundred fifty-six thousand, five".