11521901568 has 176 divisors, whose sum is σ = 32482123520. Its totient is φ = 3621003264.

The previous prime is 11521901537. The next prime is 11521901569. The reversal of 11521901568 is 86510912511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11521901569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17918655 + ... + 17919297.

It is an arithmetic number, because the mean of its divisors is an integer number (184557520).

Almost surely, 2^11521901568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11521901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241061760).

11521901568 is an abundant number, since it is smaller than the sum of its proper divisors (20960221952).

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

11521901568 is a wasteful number, since it uses less digits than its factorization.

11521901568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 39.

The spelling of 11521901568 in words is "eleven billion, five hundred twenty-one million, nine hundred one thousand, five hundred sixty-eight".