82223032320 has 1152 divisors, whose sum is σ = 355449669120. Its totient is φ = 17270046720.

The previous prime is 82223032291. The next prime is 82223032351. The reversal of 82223032320 is 2323032228.

82223032320 is a `hidden beast` number, since 82 + 2 + 230 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224040777 + ... + 224041143.

It is an arithmetic number, because the mean of its divisors is an integer number (308550060).

Almost surely, 2^82223032320 is an apocalyptic number.

82223032320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82223032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724834560).

82223032320 is an abundant number, since it is smaller than the sum of its proper divisors (273226636800).

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

82223032320 is a wasteful number, since it uses less digits than its factorization.

82223032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 82223032320 its reverse (2323032228), we get a palindrome (84546064548).

The spelling of 82223032320 in words is "eighty-two billion, two hundred twenty-three million, thirty-two thousand, three hundred twenty".