8084542851360 has 288 divisors, whose sum is σ = 27749939817600. Its totient is φ = 2143293235200.

The previous prime is 8084542851299. The next prime is 8084542851431. The reversal of 8084542851360 is 631582454808.

8084542851360 is a `hidden beast` number, since 8 + 0 + 8 + 4 + 542 + 85 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 8084542851297 and 8084542851306.

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 47 ways as a sum of consecutive naturals, for example, 207857515 + ... + 207896405.

It is an arithmetic number, because the mean of its divisors is an integer number (96353957700).

Almost surely, 2^{8084542851360} is an apocalyptic number.

8084542851360 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 8084542851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874969908800).

8084542851360 is an abundant number, since it is smaller than the sum of its proper divisors (19665396966240).

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

8084542851360 is a wasteful number, since it uses less digits than its factorization.

8084542851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39752 (or 39741 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 8084542851360 in words is "eight trillion, eighty-four billion, five hundred forty-two million, eight hundred fifty-one thousand, three hundred sixty".