82264820886828 has 36 divisors (see below), whose sum is σ = 208019215207440. Its totient is φ = 27412108622496.

The previous prime is 82264820886817. The next prime is 82264820886841. The reversal of 82264820886828 is 82868802846228.

82264820886828 is a `hidden beast` number, since 8 + 2 + 2 + 6 + 482 + 0 + 88 + 68 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395658783 + ... + 395866646.

It is an arithmetic number, because the mean of its divisors is an integer number (5778311533540).

Almost surely, 2^{82264820886828} is an apocalyptic number.

It is an amenable number.

82264820886828 is an abundant number, since it is smaller than the sum of its proper divisors (125754394320612).

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

82264820886828 is a wasteful number, since it uses less digits than its factorization.

82264820886828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791528326 (or 791528321 counting only the distinct ones).

The product of its (nonzero) digits is 603979776, while the sum is 72.

The spelling of 82264820886828 in words is "eighty-two trillion, two hundred sixty-four billion, eight hundred twenty million, eight hundred eighty-six thousand, eight hundred twenty-eight".