252075997888 has 336 divisors, whose sum is σ = 614187118080. Its totient is φ = 101681049600.

The previous prime is 252075997883. The next prime is 252075997891. The reversal of 252075997888 is 888799570252.

252075997888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252075997888² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252075997883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 341103823 + ... + 341104561.

Almost surely, 2^252075997888 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 252075997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307093559040).

252075997888 is an abundant number, since it is smaller than the sum of its proper divisors (362111120192).

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

252075997888 is a wasteful number, since it uses less digits than its factorization.

252075997888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 70.

The spelling of 252075997888 in words is "two hundred fifty-two billion, seventy-five million, nine hundred ninety-seven thousand, eight hundred eighty-eight".