11321856000000 has 2688 divisors, whose sum is σ = 52181575817280. Its totient is φ = 2388787200000.

The previous prime is 11321855999941. The next prime is 11321856000001. The reversal of 11321856000000 is 65812311.

11321856000000 is a `hidden beast` number, since 11 + 32 + 18 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321856000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 870911999994 + ... + 870912000006.

Almost surely, 2^{11321856000000} is an apocalyptic number.

11321856000000 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 11321856000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26090787908640).

11321856000000 is an abundant number, since it is smaller than the sum of its proper divisors (40859719817280).

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

11321856000000 is an frugal number, since it uses more digits than its factorization.

11321856000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11321856000000 in words is "eleven trillion, three hundred twenty-one billion, eight hundred fifty-six million", and thus it is an aban number.