252201600000 has 1320 divisors, whose sum is σ = 1083561272640. Its totient is φ = 57231360000.

The previous prime is 252201599989. The next prime is 252201600019. The reversal of 252201600000 is 6102252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1814399931 + ... + 1814400069.

It is an arithmetic number, because the mean of its divisors is an integer number (820879752).

Almost surely, 2^252201600000 is an apocalyptic number.

252201600000 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 252201600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541780636320).

252201600000 is an abundant number, since it is smaller than the sum of its proper divisors (831359672640).

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

252201600000 is an frugal number, since it uses more digits than its factorization.

252201600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 252201600000 its reverse (6102252), we get a palindrome (252207702252).

The spelling of 252201600000 in words is "two hundred fifty-two billion, two hundred one million, six hundred thousand".