8052085656576 has 440 divisors, whose sum is σ = 25972736229440. Its totient is φ = 2470101516288.

The previous prime is 8052085656551. The next prime is 8052085656623. The reversal of 8052085656576 is 6756565802508.

8052085656576 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 0 + 8 + 5 + 6 + 56 + 576 = 666.

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 39 ways as a sum of consecutive naturals, for example, 363366585 + ... + 363388743.

It is an arithmetic number, because the mean of its divisors is an integer number (59028945976).

Almost surely, 2^{8052085656576} 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 8052085656576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986368114720).

8052085656576 is an abundant number, since it is smaller than the sum of its proper divisors (17920650572864).

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

8052085656576 is a wasteful number, since it uses less digits than its factorization.

8052085656576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22541 (or 22514 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 8052085656576 in words is "eight trillion, fifty-two billion, eighty-five million, six hundred fifty-six thousand, five hundred seventy-six".