11509428672 has 448 divisors, whose sum is σ = 41509370880. Its totient is φ = 3090493440.

The previous prime is 11509428661. The next prime is 11509428703. The reversal of 11509428672 is 27682490511.

11509428672 is a `hidden beast` number, since 1 + 150 + 9 + 428 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16655847 + ... + 16656537.

Almost surely, 2^11509428672 is an apocalyptic number.

11509428672 is a gapful number since it is divisible by the number (12) 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 11509428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754685440).

11509428672 is an abundant number, since it is smaller than the sum of its proper divisors (29999942208).

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

11509428672 is an frugal number, since it uses more digits than its factorization.

11509428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11509428672 in words is "eleven billion, five hundred nine million, four hundred twenty-eight thousand, six hundred seventy-two".