11532656133240 has 256 divisors, whose sum is σ = 39667603046400. Its totient is φ = 2654999001600.

The previous prime is 11532656133211. The next prime is 11532656133287. The reversal of 11532656133240 is 4233165623511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11532656133192 and 11532656133201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2853625 + ... + 5586455.

It is an arithmetic number, because the mean of its divisors is an integer number (154951574400).

Almost surely, 2^{11532656133240} is an apocalyptic number.

11532656133240 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 11532656133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833801523200).

11532656133240 is an abundant number, since it is smaller than the sum of its proper divisors (28134946913160).

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

11532656133240 is a wasteful number, since it uses less digits than its factorization.

11532656133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733018 (or 2733014 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 11532656133240 in words is "eleven trillion, five hundred thirty-two billion, six hundred fifty-six million, one hundred thirty-three thousand, two hundred forty".