11126326400 has 96 divisors (see below), whose sum is σ = 31412066880. Its totient is φ = 3814732800.

The previous prime is 11126326399. The next prime is 11126326459. The reversal of 11126326400 is 462362111.

It is a self number, because there is not a number n which added to its sum of digits gives 11126326400.

It is an unprimeable number.

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, 225956 + ... + 270755.

It is an arithmetic number, because the mean of its divisors is an integer number (327209030).

Almost surely, 2^11126326400 is an apocalyptic number.

11126326400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11126326400 is an abundant number, since it is smaller than the sum of its proper divisors (20285740480).

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

11126326400 is an equidigital number, since it uses as much as digits as its factorization.

11126326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496742 (or 496725 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11126326400 its reverse (462362111), we get a palindrome (11588688511).

The spelling of 11126326400 in words is "eleven billion, one hundred twenty-six million, three hundred twenty-six thousand, four hundred".