11532201184800 has 864 divisors, whose sum is σ = 43124756088960. Its totient is φ = 2973622579200.

The previous prime is 11532201184793. The next prime is 11532201184817. The reversal of 11532201184800 is 848110223511.

It is a happy number.

11532201184800 is a `hidden beast` number, since 1 + 1 + 532 + 2 + 0 + 118 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4307881062 + ... + 4307883738.

It is an arithmetic number, because the mean of its divisors is an integer number (49912912140).

Almost surely, 2^{11532201184800} is an apocalyptic number.

11532201184800 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 11532201184800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21562378044480).

11532201184800 is an abundant number, since it is smaller than the sum of its proper divisors (31592554904160).

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

11532201184800 is a wasteful number, since it uses less digits than its factorization.

11532201184800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11532201184800 in words is "eleven trillion, five hundred thirty-two billion, two hundred one million, one hundred eighty-four thousand, eight hundred".