8965808160 has 192 divisors, whose sum is σ = 31478025600. Its totient is φ = 2131771392.

The previous prime is 8965808153. The next prime is 8965808161. The reversal of 8965808160 is 618085698.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8965808161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126126 + ... + 183954.

It is an arithmetic number, because the mean of its divisors is an integer number (163948050).

Almost surely, 2^8965808160 is an apocalyptic number.

8965808160 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 8965808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739012800).

8965808160 is an abundant number, since it is smaller than the sum of its proper divisors (22512217440).

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

8965808160 is a wasteful number, since it uses less digits than its factorization.

8965808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57883 (or 57875 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 8965808160 is about 94687.9515038740. The cubic root of 8965808160 is about 2077.4463360120.

The spelling of 8965808160 in words is "eight billion, nine hundred sixty-five million, eight hundred eight thousand, one hundred sixty".