11609307072 has 448 divisors, whose sum is σ = 40529134080. Its totient is φ = 3218227200.

The previous prime is 11609307041. The next prime is 11609307119. The reversal of 11609307072 is 27070390611.

It is a happy number.

11609307072 is a `hidden beast` number, since 11 + 609 + 30 + 7 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11955547 + ... + 11956517.

Almost surely, 2^11609307072 is an apocalyptic number.

11609307072 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 11609307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264567040).

11609307072 is an abundant number, since it is smaller than the sum of its proper divisors (28919827008).

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

11609307072 is a wasteful number, since it uses less digits than its factorization.

11609307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 11609307072 its reverse (27070390611), we get a palindrome (38679697683).

The spelling of 11609307072 in words is "eleven billion, six hundred nine million, three hundred seven thousand, seventy-two".