52144343200 has 144 divisors (see below), whose sum is σ = 131863357080. Its totient is φ = 20111544320.

The previous prime is 52144343191. The next prime is 52144343213. The reversal of 52144343200 is 234344125.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4451024656 + 47693318544 = 66716^2 + 218388^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31852782 + ... + 31854418.

Almost surely, 2^52144343200 is an apocalyptic number.

52144343200 is a gapful number since it is divisible by the number (50) 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 52144343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65931678540).

52144343200 is an abundant number, since it is smaller than the sum of its proper divisors (79719013880).

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

52144343200 is a wasteful number, since it uses less digits than its factorization.

52144343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 52144343200 its reverse (234344125), we get a palindrome (52378687325).

The spelling of 52144343200 in words is "fifty-two billion, one hundred forty-four million, three hundred forty-three thousand, two hundred".