9991313280000 has 1760 divisors, whose sum is σ = 40394849510400. Its totient is φ = 2423955456000.

The previous prime is 9991313279929. The next prime is 9991313280001. The reversal of 9991313280000 is 823131999.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9991313280001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17746559719 + ... + 17746560281.

It is an arithmetic number, because the mean of its divisors is an integer number (22951619040).

Almost surely, 2^{9991313280000} is an apocalyptic number.

9991313280000 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 9991313280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20197424755200).

9991313280000 is an abundant number, since it is smaller than the sum of its proper divisors (30403536230400).

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

9991313280000 is a wasteful number, since it uses less digits than its factorization.

9991313280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 9991313280000 in words is "nine trillion, nine hundred ninety-one billion, three hundred thirteen million, two hundred eighty thousand".