82189610016 has 96 divisors (see below), whose sum is σ = 219445329600. Its totient is φ = 26927662080.

The previous prime is 82189609991. The next prime is 82189610017. The reversal of 82189610016 is 61001698128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 82189610016.

It is not an unprimeable number, because it can be changed into a prime (82189610017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9476530 + ... + 9485198.

It is an arithmetic number, because the mean of its divisors is an integer number (2285888850).

Almost surely, 2^82189610016 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 82189610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109722664800).

82189610016 is an abundant number, since it is smaller than the sum of its proper divisors (137255719584).

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

82189610016 is a wasteful number, since it uses less digits than its factorization.

82189610016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 82189610016 in words is "eighty-two billion, one hundred eighty-nine million, six hundred ten thousand, sixteen".