252830419200 has 1296 divisors, whose sum is σ = 1013822986176. Its totient is φ = 62108467200.

The previous prime is 252830419189. The next prime is 252830419223. The reversal of 252830419200 is 2914038252.

It is a happy number.

252830419200 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 30 + 419 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1930003135 + ... + 1930003265.

Almost surely, 2^252830419200 is an apocalyptic number.

252830419200 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 252830419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506911493088).

252830419200 is an abundant number, since it is smaller than the sum of its proper divisors (760992566976).

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

252830419200 is a wasteful number, since it uses less digits than its factorization.

252830419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 252830419200 in words is "two hundred fifty-two billion, eight hundred thirty million, four hundred nineteen thousand, two hundred".