11532544000 has 192 divisors, whose sum is σ = 30305620800. Its totient is φ = 4368384000.

The previous prime is 11532543989. The next prime is 11532544007. The reversal of 11532544000 is 44523511.

It is a happy number.

It is a super-2 number, since 2×11532544000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11532544007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4862815 + ... + 4865185.

It is an arithmetic number, because the mean of its divisors is an integer number (157841775).

Almost surely, 2^11532544000 is an apocalyptic number.

11532544000 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 11532544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152810400).

11532544000 is an abundant number, since it is smaller than the sum of its proper divisors (18773076800).

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

11532544000 is an equidigital number, since it uses as much as digits as its factorization.

11532544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2397 counting only the distinct ones).

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

The spelling of 11532544000 in words is "eleven billion, five hundred thirty-two million, five hundred forty-four thousand".