11809800000 has 462 divisors, whose sum is σ = 43937699526. Its totient is φ = 3149280000.

The previous prime is 11809799929. The next prime is 11809800031. The reversal of 11809800000 is 890811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5457072384 + 6352727616 = 73872^2 + 79704^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 2361959998 + ... + 2361960002.

Almost surely, 2^11809800000 is an apocalyptic number.

11809800000 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 11809800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21968849763).

11809800000 is an abundant number, since it is smaller than the sum of its proper divisors (32127899526).

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

11809800000 is an frugal number, since it uses more digits than its factorization.

11809800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 11809800000 in words is "eleven billion, eight hundred nine million, eight hundred thousand".