82745272355328 has 960 divisors, whose sum is σ = 281354512158720. Its totient is φ = 24047622144000.

The previous prime is 82745272355323. The next prime is 82745272355353. The reversal of 82745272355328 is 82355327254728.

82745272355328 is a `hidden beast` number, since 8 + 2 + 7 + 4 + 5 + 2 + 72 + 3 + 553 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82745272355323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5992987401 + ... + 5993001207.

It is an arithmetic number, because the mean of its divisors is an integer number (293077616832).

Almost surely, 2^{82745272355328} is an apocalyptic number.

82745272355328 is a gapful number since it is divisible by the number (88) 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 82745272355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140677256079360).

82745272355328 is an abundant number, since it is smaller than the sum of its proper divisors (198609239803392).

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

82745272355328 is a wasteful number, since it uses less digits than its factorization.

82745272355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14003 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

The spelling of 82745272355328 in words is "eighty-two trillion, seven hundred forty-five billion, two hundred seventy-two million, three hundred fifty-five thousand, three hundred twenty-eight".