252052284211200 has 5376 divisors, whose sum is σ = 1130014969814880. Its totient is φ = 55037657088000.

The previous prime is 252052284211187. The next prime is 252052284211223. The reversal of 252052284211200 is 2112482250252.

252052284211200 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 5 + 2 + 28 + 421 + 1 + 200 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4132004659170 + ... + 4132004659230.

Almost surely, 2^{252052284211200} is an apocalyptic number.

252052284211200 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 252052284211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565007484907440).

252052284211200 is an abundant number, since it is smaller than the sum of its proper divisors (877962685603680).

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

252052284211200 is an equidigital number, since it uses as much as digits as its factorization.

252052284211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 252052284211200 in words is "two hundred fifty-two trillion, fifty-two billion, two hundred eighty-four million, two hundred eleven thousand, two hundred".