82225286976 has 112 divisors (see below), whose sum is σ = 248752498176. Its totient is φ = 23481705984.

The previous prime is 82225286917. The next prime is 82225286993. The reversal of 82225286976 is 67968252228.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3033355 + ... + 3060341.

It is an arithmetic number, because the mean of its divisors is an integer number (2221004448).

Almost surely, 2^82225286976 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 82225286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124376249088).

82225286976 is an abundant number, since it is smaller than the sum of its proper divisors (166527211200).

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

82225286976 is a wasteful number, since it uses less digits than its factorization.

82225286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29276 (or 29266 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 82225286976 in words is "eighty-two billion, two hundred twenty-five million, two hundred eighty-six thousand, nine hundred seventy-six".