82417118260 has 72 divisors (see below), whose sum is σ = 186375291480. Its totient is φ = 30602428416.

The previous prime is 82417118237. The next prime is 82417118309. The reversal of 82417118260 is 6281171428.

It can be written as a sum of positive squares in 12 ways, for example, as 705752356 + 81711365904 = 26566^2 + 285852^2 .

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, 324276 + ... + 519604.

It is an arithmetic number, because the mean of its divisors is an integer number (2588545715).

Almost surely, 2^82417118260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82417118260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93187645740).

82417118260 is an abundant number, since it is smaller than the sum of its proper divisors (103958173220).

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

82417118260 is a wasteful number, since it uses less digits than its factorization.

82417118260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195445 (or 195426 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

Adding to 82417118260 its reverse (6281171428), we get a palindrome (88698289688).

The spelling of 82417118260 in words is "eighty-two billion, four hundred seventeen million, one hundred eighteen thousand, two hundred sixty".