11688465600 has 1008 divisors, whose sum is σ = 53064460800. Its totient is φ = 2375516160.

The previous prime is 11688465599. The next prime is 11688465641. The reversal of 11688465600 is 656488611.

11688465600 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 84 + 6 + 560 + 0 = 666.

11688465600 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 (1008).

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

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 143 ways as a sum of consecutive naturals, for example, 32558221 + ... + 32558579.

Almost surely, 2^11688465600 is an apocalyptic number.

11688465600 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 11688465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26532230400).

11688465600 is an abundant number, since it is smaller than the sum of its proper divisors (41375995200).

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

11688465600 is a wasteful number, since it uses less digits than its factorization.

11688465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11688465600 in words is "eleven billion, six hundred eighty-eight million, four hundred sixty-five thousand, six hundred".