82267568992 has 96 divisors (see below), whose sum is σ = 189804976704. Its totient is φ = 34371993600.

The previous prime is 82267568983. The next prime is 82267569011. The reversal of 82267568992 is 29986576228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517392 + ... + 1570672.

It is an arithmetic number, because the mean of its divisors is an integer number (1977135174).

Almost surely, 2^82267568992 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 82267568992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94902488352).

82267568992 is an abundant number, since it is smaller than the sum of its proper divisors (107537407712).

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

82267568992 is a wasteful number, since it uses less digits than its factorization.

82267568992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53472 (or 53464 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 64.

The spelling of 82267568992 in words is "eighty-two billion, two hundred sixty-seven million, five hundred sixty-eight thousand, nine hundred ninety-two".