11503445200 has 120 divisors (see below), whose sum is σ = 30027874968. Its totient is φ = 4209623040.

The previous prime is 11503445171. The next prime is 11503445201. The reversal of 11503445200 is 254430511.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5665873984 + 5837571216 = 75272^2 + 76404^2 .

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 (11503445201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577812 + ... + 597388.

Almost surely, 2^11503445200 is an apocalyptic number.

11503445200 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 11503445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013937484).

11503445200 is an abundant number, since it is smaller than the sum of its proper divisors (18524429768).

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

11503445200 is a wasteful number, since it uses less digits than its factorization.

11503445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19721 (or 19710 counting only the distinct ones).

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

Adding to 11503445200 its reverse (254430511), we get a palindrome (11757875711).

The spelling of 11503445200 in words is "eleven billion, five hundred three million, four hundred forty-five thousand, two hundred".