11534033520 has 240 divisors, whose sum is σ = 41098842720. Its totient is φ = 2888810496.

The previous prime is 11534033519. The next prime is 11534033551. The reversal of 11534033520 is 2533043511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10513612 + ... + 10514708.

It is an arithmetic number, because the mean of its divisors is an integer number (171245178).

Almost surely, 2^11534033520 is an apocalyptic number.

11534033520 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 11534033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549421360).

11534033520 is an abundant number, since it is smaller than the sum of its proper divisors (29564809200).

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

11534033520 is a wasteful number, since it uses less digits than its factorization.

11534033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Subtracting from 11534033520 its reverse (2533043511), we obtain a palindrome (9000990009).

The spelling of 11534033520 in words is "eleven billion, five hundred thirty-four million, thirty-three thousand, five hundred twenty".