82091294208 has 1440 divisors, whose sum is σ = 332811198720. Its totient is φ = 19707494400.

The previous prime is 82091294177. The next prime is 82091294209. The reversal of 82091294208 is 80249219028.

It is a happy number.

82091294208 is a `hidden beast` number, since 8 + 209 + 12 + 9 + 420 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82091294209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2002226668 + ... + 2002226708.

It is an arithmetic number, because the mean of its divisors is an integer number (231118888).

Almost surely, 2^82091294208 is an apocalyptic number.

82091294208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82091294208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166405599360).

82091294208 is an abundant number, since it is smaller than the sum of its proper divisors (250719904512).

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

82091294208 is a wasteful number, since it uses less digits than its factorization.

82091294208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 82091294208 in words is "eighty-two billion, ninety-one million, two hundred ninety-four thousand, two hundred eight".