11966524416 has 792 divisors, whose sum is σ = 45934188720. Its totient is φ = 3065610240.

The previous prime is 11966524399. The next prime is 11966524469. The reversal of 11966524416 is 61442566911.

11966524416 is a `hidden beast` number, since 119 + 6 + 6 + 524 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

Its product of digits (311040) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163924956 + ... + 163925028.

Almost surely, 2^11966524416 is an apocalyptic number.

11966524416 is a gapful number since it is divisible by the number (16) 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 11966524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967094360).

11966524416 is an abundant number, since it is smaller than the sum of its proper divisors (33967664304).

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

11966524416 is a wasteful number, since it uses less digits than its factorization.

11966524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 11966524416 in words is "eleven billion, nine hundred sixty-six million, five hundred twenty-four thousand, four hundred sixteen".