82952827584 has 224 divisors, whose sum is σ = 247881891840. Its totient is φ = 24254899200.

The previous prime is 82952827543. The next prime is 82952827591. The reversal of 82952827584 is 48572825928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24812217 + ... + 24815559.

Almost surely, 2^82952827584 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 82952827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123940945920).

82952827584 is an abundant number, since it is smaller than the sum of its proper divisors (164929064256).

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

82952827584 is a wasteful number, since it uses less digits than its factorization.

82952827584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3769 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 60.

The spelling of 82952827584 in words is "eighty-two billion, nine hundred fifty-two million, eight hundred twenty-seven thousand, five hundred eighty-four".