11200044104600 has 384 divisors, whose sum is σ = 30737588918400. Its totient is φ = 3755372544000.

The previous prime is 11200044104551. The next prime is 11200044104653. The reversal of 11200044104600 is 640144000211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3392922950 + ... + 3392926250.

It is an arithmetic number, because the mean of its divisors is an integer number (80045804475).

Almost surely, 2^{11200044104600} is an apocalyptic number.

11200044104600 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 11200044104600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15368794459200).

11200044104600 is an abundant number, since it is smaller than the sum of its proper divisors (19537544813800).

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

11200044104600 is a wasteful number, since it uses less digits than its factorization.

11200044104600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11200044104600 its reverse (640144000211), we get a palindrome (11840188104811).

The spelling of 11200044104600 in words is "eleven trillion, two hundred billion, forty-four million, one hundred four thousand, six hundred".