9600933888000 has 3264 divisors, whose sum is σ = 45013665295872. Its totient is φ = 1987470950400.

The previous prime is 9600933887999. The next prime is 9600933888059. The reversal of 9600933888000 is 8883390069.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181149695974 + ... + 181149696026.

Almost surely, 2^{9600933888000} is an apocalyptic number.

9600933888000 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 9600933888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506832647936).

9600933888000 is an abundant number, since it is smaller than the sum of its proper divisors (35412731407872).

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

9600933888000 is an frugal number, since it uses more digits than its factorization.

9600933888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 9600933888000 in words is "nine trillion, six hundred billion, nine hundred thirty-three million, eight hundred eighty-eight thousand".