11523510005340 has 96 divisors (see below), whose sum is σ = 32613927796800. Its totient is φ = 3039813697536.

The previous prime is 11523510005317. The next prime is 11523510005341. The reversal of 11523510005340 is 4350001532511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11523510005298 and 11523510005307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11523510005341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11829136 + ... + 12766184.

It is an arithmetic number, because the mean of its divisors is an integer number (339728414550).

Almost surely, 2^{11523510005340} is an apocalyptic number.

11523510005340 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 11523510005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16306963898400).

11523510005340 is an abundant number, since it is smaller than the sum of its proper divisors (21090417791460).

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

11523510005340 is a wasteful number, since it uses less digits than its factorization.

11523510005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939271 (or 939269 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 11523510005340 its reverse (4350001532511), we get a palindrome (15873511537851).

The spelling of 11523510005340 in words is "eleven trillion, five hundred twenty-three billion, five hundred ten million, five thousand, three hundred forty".