11325544000 has 112 divisors (see below), whose sum is σ = 29015466480. Its totient is φ = 4373913600.

The previous prime is 11325543991. The next prime is 11325544003. The reversal of 11325544000 is 44552311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4149421056 + 7176122944 = 64416^2 + 84712^2 .

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 (11325544003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207592 + ... + 256408.

It is an arithmetic number, because the mean of its divisors is an integer number (259066665).

Almost surely, 2^11325544000 is an apocalyptic number.

11325544000 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 11325544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507733240).

11325544000 is an abundant number, since it is smaller than the sum of its proper divisors (17689922480).

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

11325544000 is an equidigital number, since it uses as much as digits as its factorization.

11325544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48873 (or 48853 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 11325544000 in words is "eleven billion, three hundred twenty-five million, five hundred forty-four thousand".