11205444400 has 30 divisors (see below), whose sum is σ = 26921081132. Its totient is φ = 4482177600.

The previous prime is 11205444377. The next prime is 11205444401. The reversal of 11205444400 is 444450211.

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 (11205444401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14006406 + ... + 14007205.

Almost surely, 2^11205444400 is an apocalyptic number.

11205444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205444400 is an abundant number, since it is smaller than the sum of its proper divisors (15715636732).

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

11205444400 is a wasteful number, since it uses less digits than its factorization.

11205444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28013629 (or 28013618 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 11205444400 its reverse (444450211), we get a palindrome (11649894611).

The spelling of 11205444400 in words is "eleven billion, two hundred five million, four hundred forty-four thousand, four hundred".