11665733760 has 192 divisors, whose sum is σ = 40438359000. Its totient is φ = 3098886144.

The previous prime is 11665733741. The next prime is 11665733767. The reversal of 11665733760 is 6733756611.

11665733760 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 573 + 3 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5510389824 + 6155343936 = 74232^2 + 78456^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11665733767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545676 + ... + 1553204.

Almost surely, 2^11665733760 is an apocalyptic number.

11665733760 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 11665733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20219179500).

11665733760 is an abundant number, since it is smaller than the sum of its proper divisors (28772625240).

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

11665733760 is a wasteful number, since it uses less digits than its factorization.

11665733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 11665733760 in words is "eleven billion, six hundred sixty-five million, seven hundred thirty-three thousand, seven hundred sixty".