11355904800 has 648 divisors, whose sum is σ = 44922382596. Its totient is φ = 2689597440.

The previous prime is 11355904759. The next prime is 11355904843. The reversal of 11355904800 is 840955311.

It can be written as a sum of positive squares in 6 ways, for example, as 9213696144 + 2142208656 = 95988^2 + 46284^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44186272 + ... + 44186528.

Almost surely, 2^11355904800 is an apocalyptic number.

11355904800 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 11355904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22461191298).

11355904800 is an abundant number, since it is smaller than the sum of its proper divisors (33566477796).

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

11355904800 is a wasteful number, since it uses less digits than its factorization.

11355904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11355904800 in words is "eleven billion, three hundred fifty-five million, nine hundred four thousand, eight hundred".