9518160960 has 1120 divisors, whose sum is σ = 44611015680. Its totient is φ = 1866240000.

The previous prime is 9518160853. The next prime is 9518160973. The reversal of 9518160960 is 690618159.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37920835 + ... + 37921085.

It is an arithmetic number, because the mean of its divisors is an integer number (39831264).

Almost surely, 2^9518160960 is an apocalyptic number.

9518160960 is a gapful number since it is divisible by the number (90) 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 9518160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22305507840).

9518160960 is an abundant number, since it is smaller than the sum of its proper divisors (35092854720).

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

9518160960 is a wasteful number, since it uses less digits than its factorization.

9518160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9518160960 is about 97561.0627248392. The cubic root of 9518160960 is about 2119.2605229166.

The spelling of 9518160960 in words is "nine billion, five hundred eighteen million, one hundred sixty thousand, nine hundred sixty".