11891214720000 has 3080 divisors, whose sum is σ = 55692710527872. Its totient is φ = 2463436800000.

The previous prime is 11891214719983. The next prime is 11891214720031. The reversal of 11891214720000 is 2741219811.

11891214720000 is a `hidden beast` number, since 1 + 189 + 1 + 2 + 1 + 472 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 35925119835 + ... + 35925120165.

Almost surely, 2^{11891214720000} is an apocalyptic number.

11891214720000 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 11891214720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846355263936).

11891214720000 is an abundant number, since it is smaller than the sum of its proper divisors (43801495807872).

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

11891214720000 is an frugal number, since it uses more digits than its factorization.

11891214720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 11891214720000 its reverse (2741219811), we get a palindrome (11893955939811).

The spelling of 11891214720000 in words is "eleven trillion, eight hundred ninety-one billion, two hundred fourteen million, seven hundred twenty thousand".