9609558111600 has 960 divisors, whose sum is σ = 34109751836160. Its totient is φ = 2303620300800.

The previous prime is 9609558111583. The next prime is 9609558111607. The reversal of 9609558111600 is 61118559069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9609558111607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8808027055 + ... + 8808028145.

It is an arithmetic number, because the mean of its divisors is an integer number (35530991496).

Almost surely, 2^{9609558111600} 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 9609558111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054875918080).

9609558111600 is an abundant number, since it is smaller than the sum of its proper divisors (24500193724560).

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

9609558111600 is a wasteful number, since it uses less digits than its factorization.

9609558111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 51.

The spelling of 9609558111600 in words is "nine trillion, six hundred nine billion, five hundred fifty-eight million, one hundred eleven thousand, six hundred".