11198638920 has 128 divisors (see below), whose sum is σ = 38421008640. Its totient is φ = 2557977600.

The previous prime is 11198638907. The next prime is 11198638921. The reversal of 11198638920 is 2983689111.

It is a self number, because there is not a number n which added to its sum of digits gives 11198638920.

It is not an unprimeable number, because it can be changed into a prime (11198638921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1593334 + ... + 1600346.

It is an arithmetic number, because the mean of its divisors is an integer number (300164130).

Almost surely, 2^11198638920 is an apocalyptic number.

11198638920 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 11198638920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19210504320).

11198638920 is an abundant number, since it is smaller than the sum of its proper divisors (27222369720).

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

11198638920 is a wasteful number, since it uses less digits than its factorization.

11198638920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 11198638920 in words is "eleven billion, one hundred ninety-eight million, six hundred thirty-eight thousand, nine hundred twenty".