11225600400 has 240 divisors, whose sum is σ = 41376816000. Its totient is φ = 2548346880.

The previous prime is 11225600303. The next prime is 11225600411. The reversal of 11225600400 is 400652211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 1247116 + ... + 1256084.

It is an arithmetic number, because the mean of its divisors is an integer number (172403400).

Almost surely, 2^11225600400 is an apocalyptic number.

11225600400 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 11225600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20688408000).

11225600400 is an abundant number, since it is smaller than the sum of its proper divisors (30151215600).

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

11225600400 is a wasteful number, since it uses less digits than its factorization.

11225600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 11225600400 in words is "eleven billion, two hundred twenty-five million, six hundred thousand, four hundred".