252733328000 has 128 divisors (see below), whose sum is σ = 648629130240. Its totient is φ = 97832064000.

The previous prime is 252733327991. The next prime is 252733328053. The reversal of 252733328000 is 823337252.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241229 + ... + 750771.

It is an arithmetic number, because the mean of its divisors is an integer number (5067415080).

Almost surely, 2^252733328000 is an apocalyptic number.

252733328000 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 252733328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324314565120).

252733328000 is an abundant number, since it is smaller than the sum of its proper divisors (395895802240).

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

252733328000 is an equidigital number, since it uses as much as digits as its factorization.

252733328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509603 (or 509581 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 252733328000 in words is "two hundred fifty-two billion, seven hundred thirty-three million, three hundred twenty-eight thousand".