11205545442400 has 144 divisors (see below), whose sum is σ = 29497629062160. Its totient is φ = 4142743142400.

The previous prime is 11205545442373. The next prime is 11205545442461. The reversal of 11205545442400 is 424454550211.

It is a self number, because there is not a number n which added to its sum of digits gives 11205545442400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8367129 + ... + 9613528.

It is an arithmetic number, because the mean of its divisors is an integer number (204844646265).

Almost surely, 2^{11205545442400} is an apocalyptic number.

11205545442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205545442400 is an abundant number, since it is smaller than the sum of its proper divisors (18292083619760).

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

11205545442400 is a wasteful number, since it uses less digits than its factorization.

11205545442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17980737 (or 17980724 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

Adding to 11205545442400 its reverse (424454550211), we get a palindrome (11629999992611).

The spelling of 11205545442400 in words is "eleven trillion, two hundred five billion, five hundred forty-five million, four hundred forty-two thousand, four hundred".