9255936000 has 448 divisors, whose sum is σ = 32386438656. Its totient is φ = 2342912000.

The previous prime is 9255935993. The next prime is 9255936007. The reversal of 9255936000 is 6395529.

It is an interprime number because it is at equal distance from previous prime (9255935993) and next prime (9255936007).

It is a self number, because there is not a number n which added to its sum of digits gives 9255936000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9255936007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70655935 + ... + 70656065.

Almost surely, 2^9255936000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9255936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193219328).

9255936000 is an abundant number, since it is smaller than the sum of its proper divisors (23130502656).

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

9255936000 is a wasteful number, since it uses less digits than its factorization.

9255936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 9255936000 is about 96207.7751535706. The cubic root of 9255936000 is about 2099.6171637722.

The spelling of 9255936000 in words is "nine billion, two hundred fifty-five million, nine hundred thirty-six thousand".