9931304088000 has 1344 divisors, whose sum is σ = 38390596807680. Its totient is φ = 2445520896000.

The previous prime is 9931304087993. The next prime is 9931304088071. The reversal of 9931304088000 is 8804031399.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4376950866 + ... + 4376953134.

Almost surely, 2^{9931304088000} is an apocalyptic number.

9931304088000 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 9931304088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195298403840).

9931304088000 is an abundant number, since it is smaller than the sum of its proper divisors (28459292719680).

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

9931304088000 is a wasteful number, since it uses less digits than its factorization.

9931304088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 9931304088000 in words is "nine trillion, nine hundred thirty-one billion, three hundred four million, eighty-eight thousand".