11109118400 has 84 divisors (see below), whose sum is σ = 27665047032. Its totient is φ = 4390056960.

The previous prime is 11109118399. The next prime is 11109118409. The reversal of 11109118400 is 481190111.

It is a self number, because there is not a number n which added to its sum of digits gives 11109118400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11109118409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90974 + ... + 174626.

It is an arithmetic number, because the mean of its divisors is an integer number (329345798).

Almost surely, 2^11109118400 is an apocalyptic number.

11109118400 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 11109118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832523516).

11109118400 is an abundant number, since it is smaller than the sum of its proper divisors (16555928632).

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

11109118400 is an equidigital number, since it uses as much as digits as its factorization.

11109118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83758 (or 83743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 11109118400 in words is "eleven billion, one hundred nine million, one hundred eighteen thousand, four hundred".