11352553200 has 360 divisors, whose sum is σ = 41691639600. Its totient is φ = 2852720640.

The previous prime is 11352553151. The next prime is 11352553229. The reversal of 11352553200 is 235525311.

It is a happy number.

11352553200 is a `hidden beast` number, since 113 + 525 + 5 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18399292 + ... + 18399908.

It is an arithmetic number, because the mean of its divisors is an integer number (115810110).

Almost surely, 2^11352553200 is an apocalyptic number.

11352553200 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 11352553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845819800).

11352553200 is an abundant number, since it is smaller than the sum of its proper divisors (30339086400).

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

11352553200 is a wasteful number, since it uses less digits than its factorization.

11352553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 11352553200 in words is "eleven billion, three hundred fifty-two million, five hundred fifty-three thousand, two hundred".