8951312160 has 480 divisors, whose sum is σ = 36591367680. Its totient is φ = 2043643392.

The previous prime is 8951312147. The next prime is 8951312189. The reversal of 8951312160 is 612131598.

8951312160 is a `hidden beast` number, since 89 + 513 + 1 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10371889 + ... + 10372751.

It is an arithmetic number, because the mean of its divisors is an integer number (76232016).

Almost surely, 2^8951312160 is an apocalyptic number.

8951312160 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 8951312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295683840).

8951312160 is an abundant number, since it is smaller than the sum of its proper divisors (27640055520).

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

8951312160 is an equidigital number, since it uses as much as digits as its factorization.

8951312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8951312160 is about 94611.3743690472. The cubic root of 8951312160 is about 2076.3261207070.

The spelling of 8951312160 in words is "eight billion, nine hundred fifty-one million, three hundred twelve thousand, one hundred sixty".