252363535200 has 1440 divisors, whose sum is σ = 1101997467648. Its totient is φ = 54991872000.

The previous prime is 252363535199. The next prime is 252363535211. The reversal of 252363535200 is 2535363252.

252363535200 is a `hidden beast` number, since 2 + 5 + 23 + 63 + 53 + 520 + 0 = 666.

252363535200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1842069532 + ... + 1842069668.

Almost surely, 2^252363535200 is an apocalyptic number.

252363535200 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 252363535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550998733824).

252363535200 is an abundant number, since it is smaller than the sum of its proper divisors (849633932448).

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

252363535200 is a wasteful number, since it uses less digits than its factorization.

252363535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 252363535200 its reverse (2535363252), we get a palindrome (254898898452).

The spelling of 252363535200 in words is "two hundred fifty-two billion, three hundred sixty-three million, five hundred thirty-five thousand, two hundred".