10520144400 has 240 divisors, whose sum is σ = 34989010560. Its totient is φ = 2698752000.

The previous prime is 10520144389. The next prime is 10520144443. The reversal of 10520144400 is 444102501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×10520144400⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 47 ways as a sum of consecutive naturals, for example, 17504100 + ... + 17504700.

It is an arithmetic number, because the mean of its divisors is an integer number (145787544).

Almost surely, 2^10520144400 is an apocalyptic number.

10520144400 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 10520144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494505280).

10520144400 is an abundant number, since it is smaller than the sum of its proper divisors (24468866160).

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

10520144400 is a wasteful number, since it uses less digits than its factorization.

10520144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10520144400 its reverse (444102501), we get a palindrome (10964246901).

The spelling of 10520144400 in words is "ten billion, five hundred twenty million, one hundred forty-four thousand, four hundred".