9485984520 has 320 divisors, whose sum is σ = 33385342320. Its totient is φ = 2413172736.

The previous prime is 9485984509. The next prime is 9485984537. The reversal of 9485984520 is 254895849.

It is a happy number.

9485984520 is a `hidden beast` number, since 9 + 4 + 8 + 598 + 45 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8636728356 + 849256164 = 92934^2 + 29142^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6352894 + ... + 6354386.

Almost surely, 2^9485984520 is an apocalyptic number.

9485984520 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 9485984520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692671160).

9485984520 is an abundant number, since it is smaller than the sum of its proper divisors (23899357800).

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

9485984520 is a wasteful number, since it uses less digits than its factorization.

9485984520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 9485984520 is about 97396.0190151528. The cubic root of 9485984520 is about 2116.8697514307.

The spelling of 9485984520 in words is "nine billion, four hundred eighty-five million, nine hundred eighty-four thousand, five hundred twenty".