11553021200 has 120 divisors (see below), whose sum is σ = 31762080192. Its totient is φ = 3955944960.

The previous prime is 11553021169. The next prime is 11553021209. The reversal of 11553021200 is 212035511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11553021209) 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, 2649422 + ... + 2653778.

Almost surely, 2^11553021200 is an apocalyptic number.

11553021200 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 11553021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881040096).

11553021200 is an abundant number, since it is smaller than the sum of its proper divisors (20209058992).

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

11553021200 is a wasteful number, since it uses less digits than its factorization.

11553021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 11553021200 its reverse (212035511), we get a palindrome (11765056711).

The spelling of 11553021200 in words is "eleven billion, five hundred fifty-three million, twenty-one thousand, two hundred".