11521001424 has 80 divisors (see below), whose sum is σ = 31358260800. Its totient is φ = 3634818048.

The previous prime is 11521001413. The next prime is 11521001441. The reversal of 11521001424 is 42410012511.

11521001424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11521001424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082722 + ... + 1093310.

It is an arithmetic number, because the mean of its divisors is an integer number (391978260).

Almost surely, 2^11521001424 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 11521001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679130400).

11521001424 is an abundant number, since it is smaller than the sum of its proper divisors (19837259376).

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

11521001424 is a wasteful number, since it uses less digits than its factorization.

11521001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11521001424 its reverse (42410012511), we get a palindrome (53931013935).

The spelling of 11521001424 in words is "eleven billion, five hundred twenty-one million, one thousand, four hundred twenty-four".