9930117888000 has 1920 divisors, whose sum is σ = 39536600463360. Its totient is φ = 2473412198400.

The previous prime is 9930117887971. The next prime is 9930117888043. The reversal of 9930117888000 is 8887110399.

9930117888000 is a `hidden beast` number, since 99 + 301 + 178 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22415615779 + ... + 22415616221.

It is an arithmetic number, because the mean of its divisors is an integer number (20591979408).

Almost surely, 2^{9930117888000} is an apocalyptic number.

9930117888000 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 9930117888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768300231680).

9930117888000 is an abundant number, since it is smaller than the sum of its proper divisors (29606482575360).

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

9930117888000 is a wasteful number, since it uses less digits than its factorization.

9930117888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 9930117888000 in words is "nine trillion, nine hundred thirty billion, one hundred seventeen million, eight hundred eighty-eight thousand".