252630768000 has 512 divisors, whose sum is σ = 916815070080. Its totient is φ = 61157376000.

The previous prime is 252630767993. The next prime is 252630768011. The reversal of 252630768000 is 867036252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 252630768000.

It is a congruent 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, 38060682 + ... + 38067318.

Almost surely, 2^252630768000 is an apocalyptic number.

252630768000 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 252630768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458407535040).

252630768000 is an abundant number, since it is smaller than the sum of its proper divisors (664184302080).

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

252630768000 is a wasteful number, since it uses less digits than its factorization.

252630768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 252630768000 in words is "two hundred fifty-two billion, six hundred thirty million, seven hundred sixty-eight thousand".