11609020800 has 576 divisors, whose sum is σ = 45198513360. Its totient is φ = 2820096000.

The previous prime is 11609020799. The next prime is 11609020811. The reversal of 11609020800 is 802090611.

11609020800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37814247 + ... + 37814553.

Almost surely, 2^11609020800 is an apocalyptic number.

11609020800 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 11609020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22599256680).

11609020800 is an abundant number, since it is smaller than the sum of its proper divisors (33589492560).

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

11609020800 is a wasteful number, since it uses less digits than its factorization.

11609020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11609020800 in words is "eleven billion, six hundred nine million, twenty thousand, eight hundred".