82835742220 has 96 divisors (see below), whose sum is σ = 217233031680. Its totient is φ = 25776791040.

The previous prime is 82835742203. The next prime is 82835742239. The reversal of 82835742220 is 2224753828.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906591 + ... + 993769.

It is an arithmetic number, because the mean of its divisors is an integer number (2262844080).

Almost surely, 2^82835742220 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 82835742220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108616515840).

82835742220 is an abundant number, since it is smaller than the sum of its proper divisors (134397289460).

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

82835742220 is a wasteful number, since it uses less digits than its factorization.

82835742220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87823 (or 87821 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 82835742220 in words is "eighty-two billion, eight hundred thirty-five million, seven hundred forty-two thousand, two hundred twenty".