82805275305258 has 64 divisors (see below), whose sum is σ = 183760012108800. Its totient is φ = 24662938751360.

The previous prime is 82805275305251. The next prime is 82805275305287. The reversal of 82805275305258 is 85250357250828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82805275305251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20680438 + ... + 24357566.

It is an arithmetic number, because the mean of its divisors is an integer number (2871250189200).

Almost surely, 2^{82805275305258} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82805275305258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91880006054400).

82805275305258 is an abundant number, since it is smaller than the sum of its proper divisors (100954736803542).

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

82805275305258 is a wasteful number, since it uses less digits than its factorization.

82805275305258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682987.

The product of its (nonzero) digits is 53760000, while the sum is 60.

The spelling of 82805275305258 in words is "eighty-two trillion, eight hundred five billion, two hundred seventy-five million, three hundred five thousand, two hundred fifty-eight".