252295604356224 has 256 divisors, whose sum is σ = 788700017064960. Its totient is φ = 70448594227200.

The previous prime is 252295604356157. The next prime is 252295604356241. The reversal of 252295604356224 is 422653406592252.

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 31 ways as a sum of consecutive naturals, for example, 27331509 + ... + 35377995.

It is an arithmetic number, because the mean of its divisors is an integer number (3080859441660).

Almost surely, 2^{252295604356224} is an apocalyptic number.

252295604356224 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 252295604356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394350008532480).

252295604356224 is an abundant number, since it is smaller than the sum of its proper divisors (536404412708736).

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

252295604356224 is a wasteful number, since it uses less digits than its factorization.

252295604356224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047099 (or 8047087 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 57.

The spelling of 252295604356224 in words is "two hundred fifty-two trillion, two hundred ninety-five billion, six hundred four million, three hundred fifty-six thousand, two hundred twenty-four".