248082267680 has 96 divisors (see below), whose sum is σ = 633820723200. Its totient is φ = 91216161792.

The previous prime is 248082267677. The next prime is 248082267689. The reversal of 248082267680 is 86762280842.

It is not an unprimeable number, because it can be changed into a prime (248082267689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247601 + ... + 746639.

It is an arithmetic number, because the mean of its divisors is an integer number (6602299200).

Almost surely, 2^248082267680 is an apocalyptic number.

248082267680 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 248082267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316910361600).

248082267680 is an abundant number, since it is smaller than the sum of its proper divisors (385738455520).

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

248082267680 is a wasteful number, since it uses less digits than its factorization.

248082267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499306 (or 499298 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 53.

The spelling of 248082267680 in words is "two hundred forty-eight billion, eighty-two million, two hundred sixty-seven thousand, six hundred eighty".