10011444800 has 252 divisors, whose sum is σ = 28822194324. Its totient is φ = 3412684800.

The previous prime is 10011444791. The next prime is 10011444881. The reversal of 10011444800 is 844411001.

It can be written as a sum of positive squares in 6 ways, for example, as 1607689216 + 8403755584 = 40096^2 + 91672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21716570 + ... + 21717030.

It is an arithmetic number, because the mean of its divisors is an integer number (114373787).

Almost surely, 2^10011444800 is an apocalyptic number.

10011444800 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 10011444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411097162).

10011444800 is an abundant number, since it is smaller than the sum of its proper divisors (18810749524).

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

10011444800 is a wasteful number, since it uses less digits than its factorization.

10011444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 10011444800 its reverse (844411001), we get a palindrome (10855855801).

The spelling of 10011444800 in words is "ten billion, eleven million, four hundred forty-four thousand, eight hundred".