9253665474960 has 160 divisors (see below), whose sum is σ = 29942233003008. Its totient is φ = 2359674211840.

The previous prime is 9253665474953. The next prime is 9253665474971. The reversal of 9253665474960 is 694745663529.

It is a junction number, because it is equal to n+sod(n) for n = 9253665474891 and 9253665474900.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19030219 + ... + 19510421.

Almost surely, 2^{9253665474960} 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 9253665474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971116501504).

9253665474960 is an abundant number, since it is smaller than the sum of its proper divisors (20688567528048).

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

9253665474960 is a wasteful number, since it uses less digits than its factorization.

9253665474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483733 (or 483727 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 66.

The spelling of 9253665474960 in words is "nine trillion, two hundred fifty-three billion, six hundred sixty-five million, four hundred seventy-four thousand, nine hundred sixty".