9253916928000 has 480 divisors, whose sum is σ = 34495739558280. Its totient is φ = 2467705651200.

The previous prime is 9253916927987. The next prime is 9253916928037. The reversal of 9253916928000 is 8296193529.

It is a happy number.

9253916928000 is a `hidden beast` number, since 9 + 2 + 539 + 16 + 92 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6164534191104 + 3089382736896 = 2482848^2 + 1757664^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20512864 + ... + 20959136.

Almost surely, 2^{9253916928000} is an apocalyptic number.

9253916928000 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 9253916928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247869779140).

9253916928000 is an abundant number, since it is smaller than the sum of its proper divisors (25241822630280).

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

9253916928000 is an equidigital number, since it uses as much as digits as its factorization.

9253916928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446322 (or 446283 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 9253916928000 in words is "nine trillion, two hundred fifty-three billion, nine hundred sixteen million, nine hundred twenty-eight thousand".