11531532000000 has 252 divisors, whose sum is σ = 38362913792168. Its totient is φ = 3075072000000.

The previous prime is 11531531999993. The next prime is 11531532000041. The reversal of 11531532000000 is 23513511.

11531532000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11519520 + ... + 12480480.

Almost surely, 2^{11531532000000} is an apocalyptic number.

11531532000000 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 11531532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181456896084).

11531532000000 is an abundant number, since it is smaller than the sum of its proper divisors (26831381792168).

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

11531532000000 is an frugal number, since it uses more digits than its factorization.

11531532000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961010 (or 960971 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 11531532000000 its reverse (23513511), we get a palindrome (11531555513511).

The spelling of 11531532000000 in words is "eleven trillion, five hundred thirty-one billion, five hundred thirty-two million", and thus it is an aban number.