11684810880 has 192 divisors, whose sum is σ = 40728355200. Its totient is φ = 3086665728.

The previous prime is 11684810869. The next prime is 11684810903. The reversal of 11684810880 is 8801848611.

11684810880 is a `hidden beast` number, since 1 + 168 + 481 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606841 + ... + 625799.

It is an arithmetic number, because the mean of its divisors is an integer number (212126850).

Almost surely, 2^11684810880 is an apocalyptic number.

11684810880 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 11684810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364177600).

11684810880 is an abundant number, since it is smaller than the sum of its proper divisors (29043544320).

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

11684810880 is a wasteful number, since it uses less digits than its factorization.

11684810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19091 (or 19076 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 11684810880 in words is "eleven billion, six hundred eighty-four million, eight hundred ten thousand, eight hundred eighty".