82636331088006 has 48 divisors (see below), whose sum is σ = 179102830351536. Its totient is φ = 27536607065088.

The previous prime is 82636331087987. The next prime is 82636331088013. The reversal of 82636331088006 is 60088013363628.

82636331088006 is a `hidden beast` number, since 8 + 263 + 63 + 310 + 8 + 8 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 922204801 + ... + 922294403.

It is an arithmetic number, because the mean of its divisors is an integer number (3731308965657).

Almost surely, 2^{82636331088006} is an apocalyptic number.

82636331088006 is an abundant number, since it is smaller than the sum of its proper divisors (96466499263530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82636331088006 is a wasteful number, since it uses less digits than its factorization.

82636331088006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105477 (or 105474 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 82636331088006 in words is "eighty-two trillion, six hundred thirty-six billion, three hundred thirty-one million, eighty-eight thousand, six".