8653116960 has 288 divisors, whose sum is σ = 31503064320. Its totient is φ = 2155290624.

The previous prime is 8653116883. The next prime is 8653117013. The reversal of 8653116960 is 696113568.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 3401449 + ... + 3403991.

It is an arithmetic number, because the mean of its divisors is an integer number (109385640).

Almost surely, 2^8653116960 is an apocalyptic number.

8653116960 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 8653116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15751532160).

8653116960 is an abundant number, since it is smaller than the sum of its proper divisors (22849947360).

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

8653116960 is a wasteful number, since it uses less digits than its factorization.

8653116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 8653116960 is about 93022.1315601830. The cubic root of 8653116960 is about 2053.0090223542.

The spelling of 8653116960 in words is "eight billion, six hundred fifty-three million, one hundred sixteen thousand, nine hundred sixty".