11204405503200 has 1728 divisors, whose sum is σ = 53437642272000. Its totient is φ = 2239532789760.

The previous prime is 11204405503199. The next prime is 11204405503231. The reversal of 11204405503200 is 230550440211.

11204405503200 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 405 + 50 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261403371 + ... + 261446229.

It is an arithmetic number, because the mean of its divisors is an integer number (30924561500).

Almost surely, 2^{11204405503200} is an apocalyptic number.

11204405503200 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 11204405503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26718821136000).

11204405503200 is an abundant number, since it is smaller than the sum of its proper divisors (42233236768800).

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

11204405503200 is a wasteful number, since it uses less digits than its factorization.

11204405503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42934 (or 42908 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11204405503200 its reverse (230550440211), we get a palindrome (11434955943411).

The spelling of 11204405503200 in words is "eleven trillion, two hundred four billion, four hundred five million, five hundred three thousand, two hundred".