11526147252 has 72 divisors (see below), whose sum is σ = 29986800480. Its totient is φ = 3731367360.

The previous prime is 11526147247. The next prime is 11526147253. The reversal of 11526147252 is 25274162511.

11526147252 is a `hidden beast` number, since 1 + 1 + 526 + 14 + 72 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11526147253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143602 + ... + 208982.

It is an arithmetic number, because the mean of its divisors is an integer number (416483340).

Almost surely, 2^11526147252 is an apocalyptic number.

11526147252 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 11526147252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993400240).

11526147252 is an abundant number, since it is smaller than the sum of its proper divisors (18460653228).

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

11526147252 is a wasteful number, since it uses less digits than its factorization.

11526147252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65533 (or 65528 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The spelling of 11526147252 in words is "eleven billion, five hundred twenty-six million, one hundred forty-seven thousand, two hundred fifty-two".