11609325000 has 1008 divisors, whose sum is σ = 51103018260. Its totient is φ = 2449440000.

The previous prime is 11609324989. The next prime is 11609325019. The reversal of 11609325000 is 52390611.

11609325000 is a `hidden beast` number, since 1 + 1 + 609 + 3 + 2 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3172167684 + 8437157316 = 56322^2 + 91854^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 893024994 + ... + 893025006.

Almost surely, 2^11609325000 is an apocalyptic number.

11609325000 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 11609325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551509130).

11609325000 is an abundant number, since it is smaller than the sum of its proper divisors (39493693260).

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

11609325000 is an frugal number, since it uses more digits than its factorization.

11609325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11609325000 in words is "eleven billion, six hundred nine million, three hundred twenty-five thousand".