11609305920 has 168 divisors, whose sum is σ = 40008392424. Its totient is φ = 3089829888.

The previous prime is 11609305889. The next prime is 11609305931. The reversal of 11609305920 is 2950390611.

11609305920 is a `hidden beast` number, since 1 + 1 + 60 + 9 + 3 + 0 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 300259584 + 11309046336 = 17328^2 + 106344^2 .

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 23 ways as a sum of consecutive naturals, for example, 1600542 + ... + 1607778.

It is an arithmetic number, because the mean of its divisors is an integer number (238145193).

Almost surely, 2^11609305920 is an apocalyptic number.

11609305920 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 11609305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004196212).

11609305920 is an abundant number, since it is smaller than the sum of its proper divisors (28399086504).

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

11609305920 is a wasteful number, since it uses less digits than its factorization.

11609305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 11609305920 in words is "eleven billion, six hundred nine million, three hundred five thousand, nine hundred twenty".