82085250271170 has 256 divisors, whose sum is σ = 206607266611200. Its totient is φ = 20847797625600.

The previous prime is 82085250271169. The next prime is 82085250271177. The reversal of 82085250271170 is 7117205258028.

It is a super-3 number, since 3×82085250271170³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (82085250271177) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20796869137 + ... + 20796873083.

It is an arithmetic number, because the mean of its divisors is an integer number (807059635200).

Almost surely, 2^{82085250271170} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82085250271170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103303633305600).

82085250271170 is an abundant number, since it is smaller than the sum of its proper divisors (124522016340030).

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

82085250271170 is a wasteful number, since it uses less digits than its factorization.

82085250271170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381.

The product of its (nonzero) digits is 627200, while the sum is 48.

The spelling of 82085250271170 in words is "eighty-two trillion, eighty-five billion, two hundred fifty million, two hundred seventy-one thousand, one hundred seventy".