11255414400 has 768 divisors, whose sum is σ = 44622144000. Its totient is φ = 2760376320.

The previous prime is 11255414399. The next prime is 11255414413. The reversal of 11255414400 is 441455211.

11255414400 is a `hidden beast` number, since 1 + 1 + 255 + 4 + 1 + 4 + 400 = 666.

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

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, 116035152 + ... + 116035248.

It is an arithmetic number, because the mean of its divisors is an integer number (58101750).

Almost surely, 2^11255414400 is an apocalyptic number.

11255414400 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 11255414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311072000).

11255414400 is an abundant number, since it is smaller than the sum of its proper divisors (33366729600).

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

11255414400 is a wasteful number, since it uses less digits than its factorization.

11255414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11255414400 its reverse (441455211), we get a palindrome (11696869611).

The spelling of 11255414400 in words is "eleven billion, two hundred fifty-five million, four hundred fourteen thousand, four hundred".