11985326115840 has 1584 divisors, whose sum is σ = 52973714686464. Its totient is φ = 2477570457600.

The previous prime is 11985326115839. The next prime is 11985326115859. The reversal of 11985326115840 is 4851162358911.

11985326115840 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 53 + 2 + 6 + 1 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5240631177 + ... + 5240633463.

It is an arithmetic number, because the mean of its divisors is an integer number (33443001696).

Almost surely, 2^{11985326115840} is an apocalyptic number.

11985326115840 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 11985326115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486857343232).

11985326115840 is an abundant number, since it is smaller than the sum of its proper divisors (40988388570624).

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

11985326115840 is a wasteful number, since it uses less digits than its factorization.

11985326115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 11985326115840 in words is "eleven trillion, nine hundred eighty-five billion, three hundred twenty-six million, one hundred fifteen thousand, eight hundred forty".