8958116160 has 448 divisors, whose sum is σ = 36629644800. Its totient is φ = 2018525184.

The previous prime is 8958116149. The next prime is 8958116191. The reversal of 8958116160 is 616118598.

8958116160 is a `hidden beast` number, since 8 + 9 + 581 + 1 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4414026 + ... + 4416054.

It is an arithmetic number, because the mean of its divisors is an integer number (81762600).

Almost surely, 2^8958116160 is an apocalyptic number.

8958116160 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 8958116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314822400).

8958116160 is an abundant number, since it is smaller than the sum of its proper divisors (27671528640).

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

8958116160 is a wasteful number, since it uses less digits than its factorization.

8958116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 8958116160 is about 94647.3251603023. The cubic root of 8958116160 is about 2076.8520676197.

The spelling of 8958116160 in words is "eight billion, nine hundred fifty-eight million, one hundred sixteen thousand, one hundred sixty".