11224254400 has 84 divisors (see below), whose sum is σ = 28087030440. Its totient is φ = 4413568000.

The previous prime is 11224254373. The next prime is 11224254407. The reversal of 11224254400 is 445242211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224254407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34950 + ... + 153850.

It is an arithmetic number, because the mean of its divisors is an integer number (334369410).

Almost surely, 2^11224254400 is an apocalyptic number.

11224254400 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 11224254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043515220).

11224254400 is an abundant number, since it is smaller than the sum of its proper divisors (16862776040).

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

11224254400 is a wasteful number, since it uses less digits than its factorization.

11224254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118982 (or 118967 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 11224254400 its reverse (445242211), we get a palindrome (11669496611).

The spelling of 11224254400 in words is "eleven billion, two hundred twenty-four million, two hundred fifty-four thousand, four hundred".