252758025800 has 96 divisors (see below), whose sum is σ = 671869408320. Its totient is φ = 86626963200.

The previous prime is 252758025743. The next prime is 252758025827. The reversal of 252758025800 is 8520857252.

252758025800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3804467 + ... + 3870333.

It is an arithmetic number, because the mean of its divisors is an integer number (6998639670).

Almost surely, 2^252758025800 is an apocalyptic number.

252758025800 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 252758025800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335934704160).

252758025800 is an abundant number, since it is smaller than the sum of its proper divisors (419111382520).

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

252758025800 is a wasteful number, since it uses less digits than its factorization.

252758025800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68631 (or 68622 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 252758025800 in words is "two hundred fifty-two billion, seven hundred fifty-eight million, twenty-five thousand, eight hundred".