11532000000 has 378 divisors, whose sum is σ = 39641914452. Its totient is φ = 2976000000.

The previous prime is 11531999981. The next prime is 11532000037. The reversal of 11532000000 is 23511.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11532000000.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 371999985 + ... + 372000015.

Almost surely, 2^11532000000 is an apocalyptic number.

11532000000 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 11532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820957226).

11532000000 is an abundant number, since it is smaller than the sum of its proper divisors (28109914452).

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

11532000000 is an frugal number, since it uses more digits than its factorization.

11532000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Multiplying 11532000000 by its sum of digits (12), we get a square (138384000000 = 372000²).

11532000000 divided by its sum of digits (12) gives a square (961000000 = 31000²).

Adding to 11532000000 its reverse (23511), we get a palindrome (11532023511).

The spelling of 11532000000 in words is "eleven billion, five hundred thirty-two million", and thus it is an aban number.