8958225120 has 96 divisors (see below), whose sum is σ = 30389077152. Its totient is φ = 2205100032.

The previous prime is 8958225119. The next prime is 8958225139. The reversal of 8958225120 is 215228598.

8958225120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 711567 + ... + 724046.

It is an arithmetic number, because the mean of its divisors is an integer number (316552887).

Almost surely, 2^8958225120 is an apocalyptic number.

8958225120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8958225120 is an abundant number, since it is smaller than the sum of its proper divisors (21430852032).

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

8958225120 is a wasteful number, since it uses less digits than its factorization.

8958225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435644 (or 1435636 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 8958225120 is about 94647.9007691137. The cubic root of 8958225120 is about 2076.8604880242.

The spelling of 8958225120 in words is "eight billion, nine hundred fifty-eight million, two hundred twenty-five thousand, one hundred twenty".