252003119368 has 576 divisors, whose sum is σ = 716143075200. Its totient is φ = 80654745600.

The previous prime is 252003119327. The next prime is 252003119393. The reversal of 252003119368 is 863911300252.

It is a self number, because there is not a number n which added to its sum of digits gives 252003119368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 483690948 + ... + 483691468.

It is an arithmetic number, because the mean of its divisors is an integer number (1243303950).

Almost surely, 2^252003119368 is an apocalyptic number.

252003119368 is a gapful number since it is divisible by the number (28) 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 252003119368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358071537600).

252003119368 is an abundant number, since it is smaller than the sum of its proper divisors (464139955832).

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

252003119368 is a wasteful number, since it uses less digits than its factorization.

252003119368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 252003119368 in words is "two hundred fifty-two billion, three million, one hundred nineteen thousand, three hundred sixty-eight".