8082522034272 has 384 divisors, whose sum is σ = 27673348792320. Its totient is φ = 2246992151040.

The previous prime is 8082522034259. The next prime is 8082522034291. The reversal of 8082522034272 is 2724302252808.

8082522034272 is a `hidden beast` number, since 8 + 0 + 82 + 5 + 220 + 342 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68337747 + ... + 68455917.

It is an arithmetic number, because the mean of its divisors is an integer number (72066012480).

Almost surely, 2^{8082522034272} 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 8082522034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836674396160).

8082522034272 is an abundant number, since it is smaller than the sum of its proper divisors (19590826758048).

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

8082522034272 is a wasteful number, since it uses less digits than its factorization.

8082522034272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118503 (or 118489 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 8082522034272 in words is "eight trillion, eighty-two billion, five hundred twenty-two million, thirty-four thousand, two hundred seventy-two".