8195563085328 has 120 divisors (see below), whose sum is σ = 23733840650520. Its totient is φ = 2636902840320.

The previous prime is 8195563085327. The next prime is 8195563085363. The reversal of 8195563085328 is 8235803655918.

8195563085328 is a `hidden beast` number, since 8 + 1 + 9 + 556 + 3 + 0 + 8 + 53 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1142778104064 + 7052784981264 = 1069008^2 + 2655708^2 .

It is not an unprimeable number, because it can be changed into a prime (8195563085321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14510100 + ... + 15064332.

It is an arithmetic number, because the mean of its divisors is an integer number (197782005421).

Almost surely, 2^{8195563085328} 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 8195563085328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866920325260).

8195563085328 is an abundant number, since it is smaller than the sum of its proper divisors (15538277565192).

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

8195563085328 is a wasteful number, since it uses less digits than its factorization.

8195563085328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557817 (or 557808 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 8195563085328 in words is "eight trillion, one hundred ninety-five billion, five hundred sixty-three million, eighty-five thousand, three hundred twenty-eight".