11523210212040 has 256 divisors, whose sum is σ = 35237569536000. Its totient is φ = 3013910000640.

The previous prime is 11523210211897. The next prime is 11523210212099. The reversal of 11523210212040 is 4021201232511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11523210212040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1973487441 + ... + 1973493279.

It is an arithmetic number, because the mean of its divisors is an integer number (137646756000).

Almost surely, 2^{11523210212040} is an apocalyptic number.

11523210212040 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 11523210212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618784768000).

11523210212040 is an abundant number, since it is smaller than the sum of its proper divisors (23714359323960).

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

11523210212040 is a wasteful number, since it uses less digits than its factorization.

11523210212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11523210212040 its reverse (4021201232511), we get a palindrome (15544411444551).

The spelling of 11523210212040 in words is "eleven trillion, five hundred twenty-three billion, two hundred ten million, two hundred twelve thousand, forty".