8325952000576 has 112 divisors (see below), whose sum is σ = 18978641345664. Its totient is φ = 3550056800256.

The previous prime is 8325952000571. The next prime is 8325952000577. The reversal of 8325952000576 is 6750002595238.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (8325952000571) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77786071 + ... + 77893033.

It is an arithmetic number, because the mean of its divisors is an integer number (169452154872).

Almost surely, 2^{8325952000576} 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 8325952000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489320672832).

8325952000576 is an abundant number, since it is smaller than the sum of its proper divisors (10652689345088).

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

8325952000576 is a wasteful number, since it uses less digits than its factorization.

8325952000576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107868 (or 107858 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 8325952000576 in words is "eight trillion, three hundred twenty-five billion, nine hundred fifty-two million, five hundred seventy-six", and thus it is an aban number.