11532531136 has 112 divisors (see below), whose sum is σ = 26631424512. Its totient is φ = 4852915200.

The previous prime is 11532531119. The next prime is 11532531139. The reversal of 11532531136 is 63113523511.

11532531136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 11532531098 and 11532531107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532531139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9764466 + ... + 9765646.

It is an arithmetic number, because the mean of its divisors is an integer number (237780576).

Almost surely, 2^11532531136 is an apocalyptic number.

11532531136 is a gapful number since it is divisible by the number (16) 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 11532531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315712256).

11532531136 is an abundant number, since it is smaller than the sum of its proper divisors (15098893376).

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

11532531136 is a wasteful number, since it uses less digits than its factorization.

11532531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1568 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

The spelling of 11532531136 in words is "eleven billion, five hundred thirty-two million, five hundred thirty-one thousand, one hundred thirty-six".