11916398592000 has 1920 divisors, whose sum is σ = 51755223457080. Its totient is φ = 2720032358400.

The previous prime is 11916398591983. The next prime is 11916398592013. The reversal of 11916398592000 is 29589361911.

11916398592000 is a `hidden beast` number, since 1 + 1 + 9 + 16 + 39 + 8 + 592 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7210900537344 + 4705498054656 = 2685312^2 + 2169216^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16257023634 + ... + 16257024366.

Almost surely, 2^{11916398592000} is an apocalyptic number.

11916398592000 is a gapful number since it is divisible by the number (10) 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 11916398592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25877611728540).

11916398592000 is an abundant number, since it is smaller than the sum of its proper divisors (39838824865080).

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

11916398592000 is an frugal number, since it uses more digits than its factorization.

11916398592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 11916398592000 in words is "eleven trillion, nine hundred sixteen billion, three hundred ninety-eight million, five hundred ninety-two thousand".