11684638800640 has 108 divisors (see below), whose sum is σ = 30306924419184. Its totient is φ = 4314328092672.

The previous prime is 11684638800617. The next prime is 11684638800697. The reversal of 11684638800640 is 4600883648611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26791444 + ... + 27224083.

It is an arithmetic number, because the mean of its divisors is an integer number (280619670548).

Almost surely, 2^{11684638800640} is an apocalyptic number.

11684638800640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11684638800640 is an abundant number, since it is smaller than the sum of its proper divisors (18622285618544).

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

11684638800640 is an equidigital number, since it uses as much as digits as its factorization.

11684638800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54015574 (or 54015547 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 11684638800640 in words is "eleven trillion, six hundred eighty-four billion, six hundred thirty-eight million, eight hundred thousand, six hundred forty".