10053144400 has 120 divisors (see below), whose sum is σ = 26048504664. Its totient is φ = 3706521600.

The previous prime is 10053144371. The next prime is 10053144401. The reversal of 10053144400 is 444135001.

It can be written as a sum of positive squares in 12 ways, for example, as 5056916544 + 4996227856 = 71112^2 + 70684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053144401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6140382 + ... + 6142018.

Almost surely, 2^10053144400 is an apocalyptic number.

10053144400 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 10053144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024252332).

10053144400 is an abundant number, since it is smaller than the sum of its proper divisors (15995360264).

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

10053144400 is a wasteful number, since it uses less digits than its factorization.

10053144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10053144400 its reverse (444135001), we get a palindrome (10497279401).

The spelling of 10053144400 in words is "ten billion, fifty-three million, one hundred forty-four thousand, four hundred".