11986435968 has 128 divisors (see below), whose sum is σ = 34335974400. Its totient is φ = 3682990080.

The previous prime is 11986435949. The next prime is 11986435999. The reversal of 11986435968 is 86953468911.

11986435968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5185533 + ... + 5187843.

It is an arithmetic number, because the mean of its divisors is an integer number (268249800).

Almost surely, 2^11986435968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11986435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167987200).

11986435968 is an abundant number, since it is smaller than the sum of its proper divisors (22349538432).

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

11986435968 is a wasteful number, since it uses less digits than its factorization.

11986435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3368 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

The spelling of 11986435968 in words is "eleven billion, nine hundred eighty-six million, four hundred thirty-five thousand, nine hundred sixty-eight".