11871180800 has 72 divisors (see below), whose sum is σ = 29433467700. Its totient is φ = 4748451840.

The previous prime is 11871180787. The next prime is 11871180809. The reversal of 11871180800 is 808117811.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11871180809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64730 + ... + 167129.

Almost surely, 2^11871180800 is an apocalyptic number.

11871180800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11871180800 is an abundant number, since it is smaller than the sum of its proper divisors (17562286900).

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

11871180800 is an equidigital number, since it uses as much as digits as its factorization.

11871180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231891 (or 231866 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 35.

The spelling of 11871180800 in words is "eleven billion, eight hundred seventy-one million, one hundred eighty thousand, eight hundred".