11986657344000 has 1440 divisors, whose sum is σ = 46097228713536. Its totient is φ = 3104527564800.

The previous prime is 11986657343977. The next prime is 11986657344001. The reversal of 11986657344000 is 44375668911.

11986657344000 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 66 + 573 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11986657344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21290687719 + ... + 21290688281.

Almost surely, 2^{11986657344000} is an apocalyptic number.

11986657344000 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 11986657344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23048614356768).

11986657344000 is an abundant number, since it is smaller than the sum of its proper divisors (34110571369536).

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

11986657344000 is an frugal number, since it uses more digits than its factorization.

11986657344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11986657344000 in words is "eleven trillion, nine hundred eighty-six billion, six hundred fifty-seven million, three hundred forty-four thousand".