11524530304 has 192 divisors, whose sum is σ = 27976619160. Its totient is φ = 4709892096.

The previous prime is 11524530289. The next prime is 11524530307. The reversal of 11524530304 is 40303542511.

It can be written as a sum of positive squares in 4 ways, for example, as 10330689600 + 1193840704 = 101640^2 + 34552^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11524530307) 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, 12298924 + ... + 12299860.

Almost surely, 2^11524530304 is an apocalyptic number.

11524530304 is a gapful number since it is divisible by the number (14) 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 11524530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988309580).

11524530304 is an abundant number, since it is smaller than the sum of its proper divisors (16452088856).

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

11524530304 is an equidigital number, since it uses as much as digits as its factorization.

11524530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 11524530304 in words is "eleven billion, five hundred twenty-four million, five hundred thirty thousand, three hundred four".