11638551806800 has 60 divisors (see below), whose sum is σ = 29177343378720. Its totient is φ = 4453011122560.

The previous prime is 11638551806779. The next prime is 11638551806831. The reversal of 11638551806800 is 860815583611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 632520790 + ... + 632539189.

It is an arithmetic number, because the mean of its divisors is an integer number (486289056312).

Almost surely, 2^{11638551806800} is an apocalyptic number.

11638551806800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638551806800 is an abundant number, since it is smaller than the sum of its proper divisors (17538791571920).

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

11638551806800 is a wasteful number, since it uses less digits than its factorization.

11638551806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265060020 (or 1265060009 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 52.

The spelling of 11638551806800 in words is "eleven trillion, six hundred thirty-eight billion, five hundred fifty-one million, eight hundred six thousand, eight hundred".