11661187824 has 240 divisors, whose sum is σ = 38581530624. Its totient is φ = 3241382400.

The previous prime is 11661187781. The next prime is 11661187847. The reversal of 11661187824 is 42878116611.

11661187824 is a `hidden beast` number, since 1 + 1 + 6 + 611 + 8 + 7 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11661187824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3437169 + ... + 3440559.

Almost surely, 2^11661187824 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 11661187824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290765312).

11661187824 is an abundant number, since it is smaller than the sum of its proper divisors (26920342800).

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

11661187824 is a wasteful number, since it uses less digits than its factorization.

11661187824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3587 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 11661187824 in words is "eleven billion, six hundred sixty-one million, one hundred eighty-seven thousand, eight hundred twenty-four".