82170217101060 has 288 divisors, whose sum is σ = 278653293959040. Its totient is φ = 19427346892800.

The previous prime is 82170217101041. The next prime is 82170217101083. The reversal of 82170217101060 is 6010171207128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55547496 + ... + 57007584.

It is an arithmetic number, because the mean of its divisors is an integer number (967546159580).

Almost surely, 2^{82170217101060} 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 82170217101060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139326646979520).

82170217101060 is an abundant number, since it is smaller than the sum of its proper divisors (196483076857980).

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

82170217101060 is a wasteful number, since it uses less digits than its factorization.

82170217101060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460819 (or 1460814 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

Adding to 82170217101060 its reverse (6010171207128), we get a palindrome (88180388308188).

The spelling of 82170217101060 in words is "eighty-two trillion, one hundred seventy billion, two hundred seventeen million, one hundred one thousand, sixty".