9253298165760 has 1728 divisors, whose sum is σ = 37145170127520. Its totient is φ = 2207239372800.

The previous prime is 9253298165743. The next prime is 9253298165767. The reversal of 9253298165760 is 675618923529.

9253298165760 is a `hidden beast` number, since 9 + 2 + 53 + 2 + 9 + 8 + 1 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9253298165767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21979330350 + ... + 21979330770.

Almost surely, 2^{9253298165760} is an apocalyptic number.

9253298165760 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 9253298165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572585063760).

9253298165760 is an abundant number, since it is smaller than the sum of its proper divisors (27891871961760).

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

9253298165760 is a wasteful number, since it uses less digits than its factorization.

9253298165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 9253298165760 in words is "nine trillion, two hundred fifty-three billion, two hundred ninety-eight million, one hundred sixty-five thousand, seven hundred sixty".