11055440000 has 320 divisors, whose sum is σ = 31832935200. Its totient is φ = 3778560000.

The previous prime is 11055439991. The next prime is 11055440009. The reversal of 11055440000 is 4455011.

It is an interprime number because it is at equal distance from previous prime (11055439991) and next prime (11055440009).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11055440009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14959631 + ... + 14960369.

Almost surely, 2^11055440000 is an apocalyptic number.

11055440000 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 11055440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916467600).

11055440000 is an abundant number, since it is smaller than the sum of its proper divisors (20777495200).

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

11055440000 is an equidigital number, since it uses as much as digits as its factorization.

11055440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 11055440000 its reverse (4455011), we get a palindrome (11059895011).

The spelling of 11055440000 in words is "eleven billion, fifty-five million, four hundred forty thousand".