252380155200 has 336 divisors, whose sum is σ = 842046063936. Its totient is φ = 66167193600.

The previous prime is 252380155193. The next prime is 252380155229. The reversal of 252380155200 is 2551083252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130698235 + ... + 130700165.

It is an arithmetic number, because the mean of its divisors is an integer number (2506089476).

Almost surely, 2^252380155200 is an apocalyptic number.

252380155200 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 252380155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421023031968).

252380155200 is an abundant number, since it is smaller than the sum of its proper divisors (589665908736).

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

252380155200 is a wasteful number, since it uses less digits than its factorization.

252380155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 252380155200 in words is "two hundred fifty-two billion, three hundred eighty million, one hundred fifty-five thousand, two hundred".