82568128320 has 168 divisors, whose sum is σ = 284139305736. Its totient is φ = 22007365632.

The previous prime is 82568128277. The next prime is 82568128337. The reversal of 82568128320 is 2382186528.

82568128320 is a `hidden beast` number, since 8 + 2 + 568 + 1 + 2 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36799516224 + 45768612096 = 191832^2 + 213936^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 7116444 + ... + 7128036.

Almost surely, 2^82568128320 is an apocalyptic number.

82568128320 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 82568128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142069652868).

82568128320 is an abundant number, since it is smaller than the sum of its proper divisors (201571177416).

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

82568128320 is a wasteful number, since it uses less digits than its factorization.

82568128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82568128320 in words is "eighty-two billion, five hundred sixty-eight million, one hundred twenty-eight thousand, three hundred twenty".