11668795200 has 420 divisors, whose sum is σ = 43216921440. Its totient is φ = 3088143360.

The previous prime is 11668795133. The next prime is 11668795231. The reversal of 11668795200 is 259786611.

11668795200 is a `hidden beast` number, since 116 + 6 + 8 + 7 + 9 + 520 + 0 = 666.

11668795200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 59 ways as a sum of consecutive naturals, for example, 23198149 + ... + 23198651.

It is an arithmetic number, because the mean of its divisors is an integer number (102897432).

Almost surely, 2^11668795200 is an apocalyptic number.

11668795200 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 11668795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21608460720).

11668795200 is an abundant number, since it is smaller than the sum of its proper divisors (31548126240).

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

11668795200 is a wasteful number, since it uses less digits than its factorization.

11668795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11668795200 in words is "eleven billion, six hundred sixty-eight million, seven hundred ninety-five thousand, two hundred".