252788320512 has 1728 divisors, whose sum is σ = 1028527718400. Its totient is φ = 57808650240.

The previous prime is 252788320507. The next prime is 252788320573. The reversal of 252788320512 is 215023887252.

252788320512 is a `hidden beast` number, since 2 + 5 + 27 + 88 + 32 + 0 + 512 = 666.

252788320512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 2840318164 + ... + 2840318252.

It is an arithmetic number, because the mean of its divisors is an integer number (595212800).

Almost surely, 2^252788320512 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 252788320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514263859200).

252788320512 is an abundant number, since it is smaller than the sum of its proper divisors (775739397888).

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

252788320512 is a wasteful number, since it uses less digits than its factorization.

252788320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 252788320512 in words is "two hundred fifty-two billion, seven hundred eighty-eight million, three hundred twenty thousand, five hundred twelve".