11532125440 has 144 divisors (see below), whose sum is σ = 31907494080. Its totient is φ = 3946741760.

The previous prime is 11532125431. The next prime is 11532125447. The reversal of 11532125440 is 4452123511.

It is a junction number, because it is equal to n+sod(n) for n = 11532125399 and 11532125408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532125447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215271 + ... + 263449.

It is an arithmetic number, because the mean of its divisors is an integer number (221579820).

Almost surely, 2^11532125440 is an apocalyptic number.

11532125440 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 11532125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953747040).

11532125440 is an abundant number, since it is smaller than the sum of its proper divisors (20375368640).

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

11532125440 is a wasteful number, since it uses less digits than its factorization.

11532125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48228 (or 48214 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 11532125440 its reverse (4452123511), we get a palindrome (15984248951).

The spelling of 11532125440 in words is "eleven billion, five hundred thirty-two million, one hundred twenty-five thousand, four hundred forty".