252202055200000 has 432 divisors, whose sum is σ = 633495417292080. Its totient is φ = 100199301120000.

The previous prime is 252202055199947. The next prime is 252202055200001. The reversal of 252202055200000 is 2550202252.

It can be written as a sum of positive squares in 24 ways, for example, as 134077502105856 + 118124553094144 = 11579184^2 + 10868512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252202055200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169376799256 + ... + 169376800744.

It is an arithmetic number, because the mean of its divisors is an integer number (1466424577065).

Almost surely, 2^{252202055200000} is an apocalyptic number.

252202055200000 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 252202055200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316747708646040).

252202055200000 is an abundant number, since it is smaller than the sum of its proper divisors (381293362092080).

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

252202055200000 is an equidigital number, since it uses as much as digits as its factorization.

252202055200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 252202055200000 in words is "two hundred fifty-two trillion, two hundred two billion, fifty-five million, two hundred thousand".