8905993875 has 128 divisors (see below), whose sum is σ = 17741168640. Its totient is φ = 4395600000.

The previous prime is 8905993871. The next prime is 8905993897. The reversal of 8905993875 is 5783995098.

8905993875 is a `hidden beast` number, since 8 + 9 + 0 + 599 + 38 + 7 + 5 = 666.

8905993875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8905993875 - 2² = 8905993871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8905993871) 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 127 ways as a sum of consecutive naturals, for example, 2404525 + ... + 2408225.

It is an arithmetic number, because the mean of its divisors is an integer number (138602880).

Almost surely, 2^8905993875 is an apocalyptic number.

8905993875 is a deficient number, since it is larger than the sum of its proper divisors (8835174765).

8905993875 is a wasteful number, since it uses less digits than its factorization.

8905993875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The square root of 8905993875 is about 94371.5734477284. The cubic root of 8905993875 is about 2072.8162151380.

The spelling of 8905993875 in words is "eight billion, nine hundred five million, nine hundred ninety-three thousand, eight hundred seventy-five".