252248839200 has 270 divisors, whose sum is σ = 920368950039. Its totient is φ = 67232263680.

The previous prime is 252248839189. The next prime is 252248839217. The reversal of 252248839200 is 2938842252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252248839200 is a `hidden beast` number, since 2 + 522 + 48 + 83 + 9 + 2 + 0 + 0 = 666.

252248839200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 28107193104 + 224141646096 = 167652^2 + 473436^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355140.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 127849414 + ... + 127851386.

Almost surely, 2^252248839200 is an apocalyptic number.

252248839200 is a gapful number since it is divisible by the number (20) 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 252248839200

252248839200 is an abundant number, since it is smaller than the sum of its proper divisors (668120110839).

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

252248839200 is an frugal number, since it uses more digits than its factorization.

252248839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 252248839200 in words is "two hundred fifty-two billion, two hundred forty-eight million, eight hundred thirty-nine thousand, two hundred".