252207568607232 has 768 divisors, whose sum is σ = 814222596096000. Its totient is φ = 67870871912448.

The previous prime is 252207568607221. The next prime is 252207568607279. The reversal of 252207568607232 is 232706865702252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18237578494 + ... + 18237592322.

It is an arithmetic number, because the mean of its divisors is an integer number (1060185672000).

Almost surely, 2^{252207568607232} 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 252207568607232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407111298048000).

252207568607232 is an abundant number, since it is smaller than the sum of its proper divisors (562015027488768).

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

252207568607232 is a wasteful number, since it uses less digits than its factorization.

252207568607232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14166 (or 14146 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 252207568607232 in words is "two hundred fifty-two trillion, two hundred seven billion, five hundred sixty-eight million, six hundred seven thousand, two hundred thirty-two".