11631545200 has 120 divisors (see below), whose sum is σ = 30533045760. Its totient is φ = 4223020800.

The previous prime is 11631545179. The next prime is 11631545239. The reversal of 11631545200 is 254513611.

11631545200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3461121 + ... + 3464479.

It is an arithmetic number, because the mean of its divisors is an integer number (254442048).

Almost surely, 2^11631545200 is an apocalyptic number.

11631545200 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 11631545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266522880).

11631545200 is an abundant number, since it is smaller than the sum of its proper divisors (18901500560).

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

11631545200 is a wasteful number, since it uses less digits than its factorization.

11631545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 11631545200 in words is "eleven billion, six hundred thirty-one million, five hundred forty-five thousand, two hundred".