11104401600 has 252 divisors, whose sum is σ = 40830154560. Its totient is φ = 2858956800.

The previous prime is 11104401589. The next prime is 11104401601. The reversal of 11104401600 is 610440111.

11104401600 is a `hidden beast` number, since 11 + 10 + 4 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11104401601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404305 + ... + 430895.

Almost surely, 2^11104401600 is an apocalyptic number.

11104401600 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 11104401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415077280).

11104401600 is an abundant number, since it is smaller than the sum of its proper divisors (29725752960).

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

11104401600 is a wasteful number, since it uses less digits than its factorization.

11104401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26648 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11104401600 its reverse (610440111), we get a palindrome (11714841711).

The spelling of 11104401600 in words is "eleven billion, one hundred four million, four hundred one thousand, six hundred".