11873865600 has 384 divisors, whose sum is σ = 44292031200. Its totient is φ = 3105423360.

The previous prime is 11873865599. The next prime is 11873865607. The reversal of 11873865600 is 656837811.

11873865600 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 3 + 86 + 560 + 0 = 666.

11873865600 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 (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11873865607) by changing a digit.

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, 4577904 + ... + 4580496.

Almost surely, 2^11873865600 is an apocalyptic number.

11873865600 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 11873865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22146015600).

11873865600 is an abundant number, since it is smaller than the sum of its proper divisors (32418165600).

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

11873865600 is a wasteful number, since it uses less digits than its factorization.

11873865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11873865600 in words is "eleven billion, eight hundred seventy-three million, eight hundred sixty-five thousand, six hundred".