82665645288084 has 72 divisors (see below), whose sum is σ = 209112242347008. Its totient is φ = 27535193380800.

The previous prime is 82665645288077. The next prime is 82665645288131. The reversal of 82665645288084 is 48088254656628.

82665645288084 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 564 + 52 + 8 + 8 + 0 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539210089 + ... + 539363375.

It is an arithmetic number, because the mean of its divisors is an integer number (2904336699264).

Almost surely, 2^{82665645288084} is an apocalyptic number.

It is an amenable number.

82665645288084 is an abundant number, since it is smaller than the sum of its proper divisors (126446597058924).

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

82665645288084 is a wasteful number, since it uses less digits than its factorization.

82665645288084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164085 (or 164080 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 72.

The spelling of 82665645288084 in words is "eighty-two trillion, six hundred sixty-five billion, six hundred forty-five million, two hundred eighty-eight thousand, eighty-four".