11033401600 has 243 divisors, whose sum is σ = 29867397609. Its totient is φ = 4033536000.

The previous prime is 11033401579. The next prime is 11033401607. The reversal of 11033401600 is 610433011.

The square root of 11033401600 is 105040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4926916864 + 6106484736 = 70192^2 + 78144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11033401607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109241550 + ... + 109241650.

Almost surely, 2^11033401600 is an apocalyptic number.

11033401600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11033401600 is the 105040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033401600

11033401600 is an abundant number, since it is smaller than the sum of its proper divisors (18833996009).

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

11033401600 is an equidigital number, since it uses as much as digits as its factorization.

11033401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11033401600 its reverse (610433011), we get a palindrome (11643834611).

The spelling of 11033401600 in words is "eleven billion, thirty-three million, four hundred one thousand, six hundred".