252828009616 has 320 divisors, whose sum is σ = 625157209600. Its totient is φ = 96423395328.

The previous prime is 252828009607. The next prime is 252828009647. The reversal of 252828009616 is 616900828252.

It is a happy number.

252828009616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252828009616.

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 63 ways as a sum of consecutive naturals, for example, 1610369410 + ... + 1610369566.

It is an arithmetic number, because the mean of its divisors is an integer number (1953616280).

Almost surely, 2^252828009616 is an apocalyptic number.

252828009616 is a gapful number since it is divisible by the number (26) 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 252828009616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312578604800).

252828009616 is an abundant number, since it is smaller than the sum of its proper divisors (372329199984).

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

252828009616 is a wasteful number, since it uses less digits than its factorization.

252828009616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 252828009616 in words is "two hundred fifty-two billion, eight hundred twenty-eight million, nine thousand, six hundred sixteen".