82725221768 has 108 divisors (see below), whose sum is σ = 183863306565. Its totient is φ = 34792281216.

The previous prime is 82725221749. The next prime is 82725221809. The reversal of 82725221768 is 86712252728.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 82344893764 + 380328004 = 286958^2 + 19502^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=203378.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 415704533 + ... + 415704731.

Almost surely, 2^82725221768 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 82725221768

82725221768 is an abundant number, since it is smaller than the sum of its proper divisors (101138084797).

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

82725221768 is an equidigital number, since it uses as much as digits as its factorization.

82725221768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 281 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 50.

Multiplying 82725221768 by its sum of digits (50), we get a square (4136261088400 = 2033780²).

The spelling of 82725221768 in words is "eighty-two billion, seven hundred twenty-five million, two hundred twenty-one thousand, seven hundred sixty-eight".