248520830000 has 100 divisors (see below), whose sum is σ = 601966034208. Its totient is φ = 99363360000.

The previous prime is 248520829981. The next prime is 248520830023. The reversal of 248520830000 is 38025842.

248520830000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30225890 + ... + 30234110.

Almost surely, 2^248520830000 is an apocalyptic number.

248520830000 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 248520830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300983017104).

248520830000 is an abundant number, since it is smaller than the sum of its proper divisors (353445204208).

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

248520830000 is an equidigital number, since it uses as much as digits as its factorization.

248520830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 248520830000 its reverse (38025842), we get a palindrome (248558855842).

The spelling of 248520830000 in words is "two hundred forty-eight billion, five hundred twenty million, eight hundred thirty thousand".