252640207872 has 880 divisors, whose sum is σ = 866849018112. Its totient is φ = 72698757120.

The previous prime is 252640207871. The next prime is 252640207907. The reversal of 252640207872 is 278702046252.

252640207872 is a `hidden beast` number, since 2 + 526 + 40 + 2 + 0 + 7 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (252640207871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1512815533 + ... + 1512815699.

Almost surely, 2^252640207872 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 252640207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433424509056).

252640207872 is an abundant number, since it is smaller than the sum of its proper divisors (614208810240).

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

252640207872 is a wasteful number, since it uses less digits than its factorization.

252640207872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 252640207872 in words is "two hundred fifty-two billion, six hundred forty million, two hundred seven thousand, eight hundred seventy-two".