11886310656000 has 2880 divisors, whose sum is σ = 51142314263040. Its totient is φ = 2720563200000.

The previous prime is 11886310655927. The next prime is 11886310656023. The reversal of 11886310656000 is 65601368811.

11886310656000 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 6 + 31 + 0 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 289910015980 + ... + 289910016020.

It is an arithmetic number, because the mean of its divisors is an integer number (17757748008).

Almost surely, 2^{11886310656000} is an apocalyptic number.

11886310656000 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 11886310656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571157131520).

11886310656000 is an abundant number, since it is smaller than the sum of its proper divisors (39256003607040).

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

11886310656000 is an equidigital number, since it uses as much as digits as its factorization.

11886310656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11886310656000 in words is "eleven trillion, eight hundred eighty-six billion, three hundred ten million, six hundred fifty-six thousand".