252886187904 has 512 divisors, whose sum is σ = 877543372800. Its totient is φ = 62795808768.

The previous prime is 252886187867. The next prime is 252886187909. The reversal of 252886187904 is 409781688252.

252886187904 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-3 number, since 3×252886187904³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252886187909) 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 63 ways as a sum of consecutive naturals, for example, 30475084 + ... + 30483380.

It is an arithmetic number, because the mean of its divisors is an integer number (1713951900).

Almost surely, 2^252886187904 is an apocalyptic number.

252886187904 is a gapful number since it is divisible by the number (24) 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 252886187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438771686400).

252886187904 is an abundant number, since it is smaller than the sum of its proper divisors (624657184896).

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

252886187904 is a wasteful number, since it uses less digits than its factorization.

252886187904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 252886187904 in words is "two hundred fifty-two billion, eight hundred eighty-six million, one hundred eighty-seven thousand, nine hundred four".