11534008320 has 204 divisors, whose sum is σ = 39994480656. Its totient is φ = 3074949120.

The previous prime is 11534008319. The next prime is 11534008327. The reversal of 11534008320 is 2380043511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11534008327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2947165 + ... + 2951075.

Almost surely, 2^11534008320 is an apocalyptic number.

11534008320 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 11534008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19997240328).

11534008320 is an abundant number, since it is smaller than the sum of its proper divisors (28460472336).

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

11534008320 is an frugal number, since it uses more digits than its factorization.

11534008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11534008320 in words is "eleven billion, five hundred thirty-four million, eight thousand, three hundred twenty".