11609088000 has 224 divisors, whose sum is σ = 38642909760. Its totient is φ = 3094937600.

The previous prime is 11609087957. The next prime is 11609088017. The reversal of 11609088000 is 88090611.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 3070111 + ... + 3073889.

It is an arithmetic number, because the mean of its divisors is an integer number (172512990).

Almost surely, 2^11609088000 is an apocalyptic number.

11609088000 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 11609088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321454880).

11609088000 is an abundant number, since it is smaller than the sum of its proper divisors (27033821760).

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

11609088000 is an frugal number, since it uses more digits than its factorization.

11609088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 11609088000 in words is "eleven billion, six hundred nine million, eighty-eight thousand".