11409566800 has 120 divisors (see below), whose sum is σ = 27885352376. Its totient is φ = 4485611520.

The previous prime is 11409566767. The next prime is 11409566821. The reversal of 11409566800 is 866590411.

It can be written as a sum of positive squares in 12 ways, for example, as 7844999184 + 3564567616 = 88572^2 + 59704^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 6090664 + ... + 6092536.

Almost surely, 2^11409566800 is an apocalyptic number.

11409566800 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 11409566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942676188).

11409566800 is an abundant number, since it is smaller than the sum of its proper divisors (16475785576).

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

11409566800 is a wasteful number, since it uses less digits than its factorization.

11409566800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 11409566800 in words is "eleven billion, four hundred nine million, five hundred sixty-six thousand, eight hundred".