11663308800 has 1152 divisors, whose sum is σ = 51184224000. Its totient is φ = 2565734400.

The previous prime is 11663308799. The next prime is 11663308837. The reversal of 11663308800 is 880336611.

11663308800 is a `hidden beast` number, since 1 + 16 + 633 + 0 + 8 + 8 + 0 + 0 = 666.

11663308800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 197683171 + ... + 197683229.

It is an arithmetic number, because the mean of its divisors is an integer number (44430750).

Almost surely, 2^11663308800 is an apocalyptic number.

11663308800 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 11663308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112000).

11663308800 is an abundant number, since it is smaller than the sum of its proper divisors (39520915200).

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

11663308800 is a wasteful number, since it uses less digits than its factorization.

11663308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11663308800 in words is "eleven billion, six hundred sixty-three million, three hundred eight thousand, eight hundred".