82368026275104 has 72 divisors (see below), whose sum is σ = 234236725147152. Its totient is φ = 27455698085760.

The previous prime is 82368026275081. The next prime is 82368026275147. The reversal of 82368026275104 is 40157262086328.

82368026275104 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 8 + 0 + 2 + 627 + 5 + 1 + 0 + 4 = 666.

82368026275104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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, 24615507 + ... + 27760749.

It is an arithmetic number, because the mean of its divisors is an integer number (3253287849266).

Almost surely, 2^{82368026275104} is an apocalyptic number.

It is an amenable number.

82368026275104 is an abundant number, since it is smaller than the sum of its proper divisors (151868698872048).

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

82368026275104 is a wasteful number, since it uses less digits than its factorization.

82368026275104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236190 (or 3236179 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 82368026275104 in words is "eighty-two trillion, three hundred sixty-eight billion, twenty-six million, two hundred seventy-five thousand, one hundred four".