252728943360 has 576 divisors, whose sum is σ = 854971514880. Its totient is φ = 63541739520.

The previous prime is 252728943359. The next prime is 252728943373. The reversal of 252728943360 is 63349827252.

It is a happy 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, 1103619726 + ... + 1103619954.

Almost surely, 2^252728943360 is an apocalyptic number.

252728943360 is a gapful number since it is divisible by the number (20) 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 252728943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427485757440).

252728943360 is an abundant number, since it is smaller than the sum of its proper divisors (602242571520).

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

252728943360 is a wasteful number, since it uses less digits than its factorization.

252728943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 252728943360 in words is "two hundred fifty-two billion, seven hundred twenty-eight million, nine hundred forty-three thousand, three hundred sixty".