9638253069560 has 128 divisors (see below), whose sum is σ = 22436635253760. Its totient is φ = 3723763123200.

The previous prime is 9638253069527. The next prime is 9638253069569. The reversal of 9638253069560 is 659603528369.

It is a junction number, because it is equal to n+sod(n) for n = 9638253069493 and 9638253069502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9638253069569) 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 31 ways as a sum of consecutive naturals, for example, 1179564275 + ... + 1179572445.

It is an arithmetic number, because the mean of its divisors is an integer number (175286212920).

Almost surely, 2^{9638253069560} 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 9638253069560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218317626880).

9638253069560 is an abundant number, since it is smaller than the sum of its proper divisors (12798382184200).

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

9638253069560 is a wasteful number, since it uses less digits than its factorization.

9638253069560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15309 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 62.

The spelling of 9638253069560 in words is "nine trillion, six hundred thirty-eight billion, two hundred fifty-three million, sixty-nine thousand, five hundred sixty".