11985273216000 has 2464 divisors, whose sum is σ = 52270714229760. Its totient is φ = 2684399616000.

The previous prime is 11985273215983. The next prime is 11985273216001. The reversal of 11985273216000 is 61237258911.

11985273216000 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 5 + 2 + 7 + 32 + 1 + 600 + 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 (11985273216001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 38537855845 + ... + 38537856155.

Almost surely, 2^{11985273216000} is an apocalyptic number.

11985273216000 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 11985273216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26135357114880).

11985273216000 is an abundant number, since it is smaller than the sum of its proper divisors (40285441013760).

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

11985273216000 is an frugal number, since it uses more digits than its factorization.

11985273216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11985273216000 in words is "eleven trillion, nine hundred eighty-five billion, two hundred seventy-three million, two hundred sixteen thousand".