11075804800 has 96 divisors (see below), whose sum is σ = 27394145100. Its totient is φ = 4424908800.

The previous prime is 11075804791. The next prime is 11075804801. The reversal of 11075804800 is 840857011.

It can be written as a sum of positive squares in 6 ways, for example, as 47444544 + 11028360256 = 6888^2 + 105016^2 .

It is not an unprimeable number, because it can be changed into a prime (11075804801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3547240 + ... + 3550360.

Almost surely, 2^11075804800 is an apocalyptic number.

11075804800 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 11075804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697072550).

11075804800 is an abundant number, since it is smaller than the sum of its proper divisors (16318340300).

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

11075804800 is a wasteful number, since it uses less digits than its factorization.

11075804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 11075804800 in words is "eleven billion, seventy-five million, eight hundred four thousand, eight hundred".