9559696960440 has 768 divisors, whose sum is σ = 38459843435520. Its totient is φ = 2029944913920.

The previous prime is 9559696960421. The next prime is 9559696960441. The reversal of 9559696960440 is 440696969559.

9559696960440 is a `hidden beast` number, since 9 + 5 + 5 + 9 + 6 + 9 + 6 + 9 + 604 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9559696960441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57205887 + ... + 57372753.

It is an arithmetic number, because the mean of its divisors is an integer number (50077921140).

Almost surely, 2^{9559696960440} is an apocalyptic number.

9559696960440 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 9559696960440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229921717760).

9559696960440 is an abundant number, since it is smaller than the sum of its proper divisors (28900146475080).

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

9559696960440 is a wasteful number, since it uses less digits than its factorization.

9559696960440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166972 (or 166965 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 9559696960440 in words is "nine trillion, five hundred fifty-nine billion, six hundred ninety-six million, nine hundred sixty thousand, four hundred forty".