82805935212 has 324 divisors, whose sum is σ = 284740987440. Its totient is φ = 19852335360.

The previous prime is 82805935207. The next prime is 82805935229. The reversal of 82805935212 is 21253950828.

82805935212 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 593 + 52 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5145114 + ... + 5161182.

Almost surely, 2^82805935212 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 82805935212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142370493720).

82805935212 is an abundant number, since it is smaller than the sum of its proper divisors (201935052228).

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

82805935212 is a wasteful number, since it uses less digits than its factorization.

82805935212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16134 (or 16105 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 82805935212 in words is "eighty-two billion, eight hundred five million, nine hundred thirty-five thousand, two hundred twelve".