11638042880 has 144 divisors (see below), whose sum is σ = 28653609600. Its totient is φ = 4526505984.

The previous prime is 11638042877. The next prime is 11638042901. The reversal of 11638042880 is 8824083611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19428821 + ... + 19429419.

It is an arithmetic number, because the mean of its divisors is an integer number (198983400).

Almost surely, 2^11638042880 is an apocalyptic number.

11638042880 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 11638042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326804800).

11638042880 is an abundant number, since it is smaller than the sum of its proper divisors (17015566720).

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

11638042880 is an equidigital number, since it uses as much as digits as its factorization.

11638042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 11638042880 in words is "eleven billion, six hundred thirty-eight million, forty-two thousand, eight hundred eighty".