11526324480 has 324 divisors, whose sum is σ = 43840212780. Its totient is φ = 2793922560.

The previous prime is 11526324437. The next prime is 11526324533. The reversal of 11526324480 is 8442362511.

It is a happy number.

11526324480 is a `hidden beast` number, since 1 + 15 + 2 + 632 + 4 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7775006976 + 3751317504 = 88176^2 + 61248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1389786 + ... + 1398054.

Almost surely, 2^11526324480 is an apocalyptic number.

11526324480 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 11526324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920106390).

11526324480 is an abundant number, since it is smaller than the sum of its proper divisors (32313888300).

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

11526324480 is a wasteful number, since it uses less digits than its factorization.

11526324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 11526324480 its reverse (8442362511), we get a palindrome (19968686991).

The spelling of 11526324480 in words is "eleven billion, five hundred twenty-six million, three hundred twenty-four thousand, four hundred eighty".