8563983120 has 960 divisors, whose sum is σ = 38504202240. Its totient is φ = 1710720000.

The previous prime is 8563983079. The next prime is 8563983133. The reversal of 8563983120 is 213893658.

It is a happy number.

8563983120 is a `hidden beast` number, since 8 + 5 + 639 + 8 + 3 + 1 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 56715045 + ... + 56715195.

It is an arithmetic number, because the mean of its divisors is an integer number (40108544).

Almost surely, 2^8563983120 is an apocalyptic number.

8563983120 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 8563983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19252101120).

8563983120 is an abundant number, since it is smaller than the sum of its proper divisors (29940219120).

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

8563983120 is a wasteful number, since it uses less digits than its factorization.

8563983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8563983120 is about 92541.7912080807. The cubic root of 8563983120 is about 2045.9354818365.

The spelling of 8563983120 in words is "eight billion, five hundred sixty-three million, nine hundred eighty-three thousand, one hundred twenty".