248390753280 has 176 divisors, whose sum is σ = 794927394720. Its totient is φ = 66198765568.

The previous prime is 248390753251. The next prime is 248390753291. The reversal of 248390753280 is 82357093842.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34356706 + ... + 34363934.

Almost surely, 2^248390753280 is an apocalyptic number.

248390753280 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 248390753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397463697360).

248390753280 is an abundant number, since it is smaller than the sum of its proper divisors (546536641440).

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

248390753280 is a wasteful number, since it uses less digits than its factorization.

248390753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 248390753280 in words is "two hundred forty-eight billion, three hundred ninety million, seven hundred fifty-three thousand, two hundred eighty".