9525760000 has 195 divisors, whose sum is σ = 24200497893. Its totient is φ = 3747840000.

The previous prime is 9525759973. The next prime is 9525760003. The reversal of 9525760000 is 675259.

The square root of 9525760000 is 97600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9426079744 + 99680256 = 97088^2 + 9984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9525760003) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 156159970 + ... + 156160030.

Almost surely, 2^9525760000 is an apocalyptic number.

9525760000 is the 97600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9525760000

9525760000 is an abundant number, since it is smaller than the sum of its proper divisors (14674737893).

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

9525760000 is an frugal number, since it uses more digits than its factorization.

9525760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The cubic root of 9525760000 is about 2119.8243594845.

The spelling of 9525760000 in words is "nine billion, five hundred twenty-five million, seven hundred sixty thousand".