82170326753160 has 256 divisors, whose sum is σ = 260827948800000. Its totient is φ = 20651434113024.

The previous prime is 82170326753159. The next prime is 82170326753191. The reversal of 82170326753160 is 6135762307128.

It is a super-3 number, since 3×82170326753160³ (a number of 43 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 6052164292 + ... + 6052177868.

It is an arithmetic number, because the mean of its divisors is an integer number (1018859175000).

Almost surely, 2^{82170326753160} 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 82170326753160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130413974400000).

82170326753160 is an abundant number, since it is smaller than the sum of its proper divisors (178657622046840).

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

82170326753160 is a wasteful number, since it uses less digits than its factorization.

82170326753160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27148 (or 27144 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 82170326753160 in words is "eighty-two trillion, one hundred seventy billion, three hundred twenty-six million, seven hundred fifty-three thousand, one hundred sixty".