252256435200 has 1584 divisors, whose sum is σ = 1149901758720. Its totient is φ = 51314688000.

The previous prime is 252256435199. The next prime is 252256435201. The reversal of 252256435200 is 2534652252.

252256435200 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 5 + 643 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252256435199) and next prime (252256435201).

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252256435201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1046707080 + ... + 1046707320.

It is an arithmetic number, because the mean of its divisors is an integer number (725948080).

Almost surely, 2^252256435200 is an apocalyptic number.

252256435200 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 252256435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574950879360).

252256435200 is an abundant number, since it is smaller than the sum of its proper divisors (897645323520).

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

252256435200 is a wasteful number, since it uses less digits than its factorization.

252256435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 252256435200 in words is "two hundred fifty-two billion, two hundred fifty-six million, four hundred thirty-five thousand, two hundred".