11331240795252 has 216 divisors, whose sum is σ = 33782149215360. Its totient is φ = 3192618723840.

The previous prime is 11331240795211. The next prime is 11331240795319. The reversal of 11331240795252 is 25259704213311.

11331240795252 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 12 + 40 + 79 + 525 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11331240795198 and 11331240795207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115198252 + ... + 115296572.

It is an arithmetic number, because the mean of its divisors is an integer number (156398838960).

Almost surely, 2^{11331240795252} is an apocalyptic number.

11331240795252 is a gapful number since it is divisible by the number (12) 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 11331240795252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891074607680).

11331240795252 is an abundant number, since it is smaller than the sum of its proper divisors (22450908420108).

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

11331240795252 is a wasteful number, since it uses less digits than its factorization.

11331240795252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99251 (or 99239 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 11331240795252 in words is "eleven trillion, three hundred thirty-one billion, two hundred forty million, seven hundred ninety-five thousand, two hundred fifty-two".