252566430075648 has 720 divisors, whose sum is σ = 839902094465280. Its totient is φ = 74990665064448.

The previous prime is 252566430075599. The next prime is 252566430075683. The reversal of 252566430075648 is 846570034665252.

252566430075648 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 6 + 64 + 3 + 0 + 0 + 7 + 564 + 8 = 666.

It is a super-3 number, since 3×252566430075648³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 961956933 + ... + 962219451.

Almost surely, 2^{252566430075648} 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 252566430075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419951047232640).

252566430075648 is an abundant number, since it is smaller than the sum of its proper divisors (587335664389632).

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

252566430075648 is a wasteful number, since it uses less digits than its factorization.

252566430075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262686 (or 262663 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 63.

The spelling of 252566430075648 in words is "two hundred fifty-two trillion, five hundred sixty-six billion, four hundred thirty million, seventy-five thousand, six hundred forty-eight".