11509416520 has 128 divisors (see below), whose sum is σ = 30129200640. Its totient is φ = 3875420160.

The previous prime is 11509416491. The next prime is 11509416547. The reversal of 11509416520 is 2561490511.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5374650 + ... + 5376790.

It is an arithmetic number, because the mean of its divisors is an integer number (235384380).

Almost surely, 2^11509416520 is an apocalyptic number.

11509416520 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 11509416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064600320).

11509416520 is an abundant number, since it is smaller than the sum of its proper divisors (18619784120).

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

11509416520 is a wasteful number, since it uses less digits than its factorization.

11509416520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 11509416520 in words is "eleven billion, five hundred nine million, four hundred sixteen thousand, five hundred twenty".