9911163412800 has 1344 divisors, whose sum is σ = 40585191270400. Its totient is φ = 2336233881600.

The previous prime is 9911163412781. The next prime is 9911163412807. The reversal of 9911163412800 is 82143611199.

9911163412800 is a `hidden beast` number, since 9 + 9 + 1 + 1 + 1 + 634 + 1 + 2 + 8 + 0 + 0 = 666.

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 (9911163412807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1688728266 + ... + 1688734134.

Almost surely, 2^{9911163412800} is an apocalyptic number.

9911163412800 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 9911163412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20292595635200).

9911163412800 is an abundant number, since it is smaller than the sum of its proper divisors (30674027857600).

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

9911163412800 is a wasteful number, since it uses less digits than its factorization.

9911163412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 9911163412800 in words is "nine trillion, nine hundred eleven billion, one hundred sixty-three million, four hundred twelve thousand, eight hundred".