11055054400 has 168 divisors, whose sum is σ = 29778491624. Its totient is φ = 4014489600.

The previous prime is 11055054391. The next prime is 11055054403. The reversal of 11055054400 is 445055011.

It is a happy number.

11055054400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4861993984 + 6193060416 = 69728^2 + 78696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11055054403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264444 + ... + 1273156.

Almost surely, 2^11055054400 is an apocalyptic number.

11055054400 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 11055054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889245812).

11055054400 is an abundant number, since it is smaller than the sum of its proper divisors (18723437224).

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

11055054400 is a wasteful number, since it uses less digits than its factorization.

11055054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8809 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

It can be divided in two parts, 1105 and 5054400, that added together give a palindrome (5055505).

The spelling of 11055054400 in words is "eleven billion, fifty-five million, fifty-four thousand, four hundred".