11385419520 has 288 divisors, whose sum is σ = 40180396032. Its totient is φ = 2732916736.

The previous prime is 11385419447. The next prime is 11385419579. The reversal of 11385419520 is 2591458311.

11385419520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1497649 + ... + 1505231.

It is an arithmetic number, because the mean of its divisors is an integer number (139515264).

Almost surely, 2^11385419520 is an apocalyptic number.

11385419520 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 11385419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20090198016).

11385419520 is an abundant number, since it is smaller than the sum of its proper divisors (28794976512).

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

11385419520 is a wasteful number, since it uses less digits than its factorization.

11385419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 11385419520 in words is "eleven billion, three hundred eighty-five million, four hundred nineteen thousand, five hundred twenty".