11523240000 has 210 divisors, whose sum is σ = 41274686310. Its totient is φ = 3072768000.

The previous prime is 11523239977. The next prime is 11523240007. The reversal of 11523240000 is 4232511.

It can be written as a sum of positive squares in 5 ways, for example, as 8742998016 + 2780241984 = 93504^2 + 52728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11523240007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 343996 + ... + 376004.

Almost surely, 2^11523240000 is an apocalyptic number.

11523240000 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 11523240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637343155).

11523240000 is an abundant number, since it is smaller than the sum of its proper divisors (29751446310).

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

11523240000 is an equidigital number, since it uses as much as digits as its factorization.

11523240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32047 (or 32019 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11523240000 its reverse (4232511), we get a palindrome (11527472511).

The spelling of 11523240000 in words is "eleven billion, five hundred twenty-three million, two hundred forty thousand".