9929391091200 has 1200 divisors, whose sum is σ = 42071738379264. Its totient is φ = 2265665126400.

The previous prime is 9929391091189. The next prime is 9929391091201. The reversal of 9929391091200 is 21901939299.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9929391091201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7482584937 + ... + 7482586263.

Almost surely, 2^{9929391091200} is an apocalyptic number.

9929391091200 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 9929391091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035869189632).

9929391091200 is an abundant number, since it is smaller than the sum of its proper divisors (32142347288064).

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

9929391091200 is a wasteful number, since it uses less digits than its factorization.

9929391091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 54.

The spelling of 9929391091200 in words is "nine trillion, nine hundred twenty-nine billion, three hundred ninety-one million, ninety-one thousand, two hundred".