82527578083328 has 104 divisors (see below), whose sum is σ = 188986443585408. Its totient is φ = 35298639839232.

The previous prime is 82527578083283. The next prime is 82527578083403. The reversal of 82527578083328 is 82338087572528.

It is a super-2 number, since 2×82527578083328² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11560850 + ... + 17283182.

Almost surely, 2^{82527578083328} 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 82527578083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493221792704).

82527578083328 is an abundant number, since it is smaller than the sum of its proper divisors (106458865502080).

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

82527578083328 is an equidigital number, since it uses as much as digits as its factorization.

82527578083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722867 (or 5722845 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 68.

The spelling of 82527578083328 in words is "eighty-two trillion, five hundred twenty-seven billion, five hundred seventy-eight million, eighty-three thousand, three hundred twenty-eight".