11847340800 has 864 divisors, whose sum is σ = 47675073600. Its totient is φ = 2866544640.

The previous prime is 11847340759. The next prime is 11847340823. The reversal of 11847340800 is 804374811.

11847340800 is a `hidden beast` number, since 1 + 184 + 73 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108691146 + ... + 108691254.

Almost surely, 2^11847340800 is an apocalyptic number.

11847340800 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 11847340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837536800).

11847340800 is an abundant number, since it is smaller than the sum of its proper divisors (35827732800).

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

11847340800 is a wasteful number, since it uses less digits than its factorization.

11847340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11847340800 in words is "eleven billion, eight hundred forty-seven million, three hundred forty thousand, eight hundred".