9605856000 has 576 divisors, whose sum is σ = 35355640320. Its totient is φ = 2296627200.

The previous prime is 9605855993. The next prime is 9605856053. The reversal of 9605856000 is 6585069.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9605856000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53663911 + ... + 53664089.

It is an arithmetic number, because the mean of its divisors is an integer number (61381320).

Almost surely, 2^9605856000 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 9605856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677820160).

9605856000 is an abundant number, since it is smaller than the sum of its proper divisors (25749784320).

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

9605856000 is a wasteful number, since it uses less digits than its factorization.

9605856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 9605856000 is about 98009.4689303029. The cubic root of 9605856000 is about 2125.7491983431.

The spelling of 9605856000 in words is "nine billion, six hundred five million, eight hundred fifty-six thousand".