11753953866 has 96 divisors (see below), whose sum is σ = 27045083520. Its totient is φ = 3683702400.

The previous prime is 11753953859. The next prime is 11753953889. The reversal of 11753953866 is 66835935711.

11753953866 is a `hidden beast` number, since 1 + 1 + 75 + 39 + 538 + 6 + 6 = 666.

11753953866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 3074236 + ... + 3078056.

It is an arithmetic number, because the mean of its divisors is an integer number (281719620).

Almost surely, 2^11753953866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11753953866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522541760).

11753953866 is an abundant number, since it is smaller than the sum of its proper divisors (15291129654).

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

11753953866 is a wasteful number, since it uses less digits than its factorization.

11753953866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4009 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

It can be divided in two parts, 117539 and 53866, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 11753953866 in words is "eleven billion, seven hundred fifty-three million, nine hundred fifty-three thousand, eight hundred sixty-six".