252087908592288 has 384 divisors, whose sum is σ = 706180690575360. Its totient is φ = 78515329536000.

The previous prime is 252087908592283. The next prime is 252087908592371. The reversal of 252087908592288 is 882295809780252.

It is not an unprimeable number, because it can be changed into a prime (252087908592283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51859266978 + ... + 51859271838.

It is an arithmetic number, because the mean of its divisors is an integer number (1839012215040).

Almost surely, 2^{252087908592288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252087908592288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353090345287680).

252087908592288 is an abundant number, since it is smaller than the sum of its proper divisors (454092781983072).

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

252087908592288 is a wasteful number, since it uses less digits than its factorization.

252087908592288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 75.

The spelling of 252087908592288 in words is "two hundred fifty-two trillion, eighty-seven billion, nine hundred eight million, five hundred ninety-two thousand, two hundred eighty-eight".