82188054208 has 224 divisors, whose sum is σ = 191624590080. Its totient is φ = 34626600960.

The previous prime is 82188054199. The next prime is 82188054209. The reversal of 82188054208 is 80245088128.

It is not an unprimeable number, because it can be changed into a prime (82188054209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138596760 + ... + 138597352.

It is an arithmetic number, because the mean of its divisors is an integer number (855466920).

Almost surely, 2^82188054208 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 82188054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95812295040).

82188054208 is an abundant number, since it is smaller than the sum of its proper divisors (109436535872).

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

82188054208 is a wasteful number, since it uses less digits than its factorization.

82188054208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 46.

The spelling of 82188054208 in words is "eighty-two billion, one hundred eighty-eight million, fifty-four thousand, two hundred eight".