252788829408 has 576 divisors, whose sum is σ = 803096985600. Its totient is φ = 75116160000.

The previous prime is 252788829373. The next prime is 252788829413. The reversal of 252788829408 is 804928887252.

252788829408 is a `hidden beast` number, since 2 + 527 + 8 + 88 + 29 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1674098133 + ... + 1674098283.

It is an arithmetic number, because the mean of its divisors is an integer number (1394265600).

Almost surely, 2^252788829408 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 252788829408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401548492800).

252788829408 is an abundant number, since it is smaller than the sum of its proper divisors (550308156192).

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

252788829408 is a wasteful number, since it uses less digits than its factorization.

252788829408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 252788829408 in words is "two hundred fifty-two billion, seven hundred eighty-eight million, eight hundred twenty-nine thousand, four hundred eight".