252756616200 has 384 divisors, whose sum is σ = 912123763200. Its totient is φ = 57252096000.

The previous prime is 252756616183. The next prime is 252756616201. The reversal of 252756616200 is 2616657252.

It is not an unprimeable number, because it can be changed into a prime (252756616201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9140395 + ... + 9168005.

It is an arithmetic number, because the mean of its divisors is an integer number (2375322300).

Almost surely, 2^252756616200 is an apocalyptic number.

252756616200 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 252756616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456061881600).

252756616200 is an abundant number, since it is smaller than the sum of its proper divisors (659367147000).

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

252756616200 is a wasteful number, since it uses less digits than its factorization.

252756616200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27733 (or 27724 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 252756616200 in words is "two hundred fifty-two billion, seven hundred fifty-six million, six hundred sixteen thousand, two hundred".