248082880080 has 120 divisors (see below), whose sum is σ = 894617285472. Its totient is φ = 56704655616.

The previous prime is 248082880069. The next prime is 248082880153. The reversal of 248082880080 is 80088280842.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 10535982 + ... + 10559501.

Almost surely, 2^248082880080 is an apocalyptic number.

248082880080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248082880080 is an abundant number, since it is smaller than the sum of its proper divisors (646534405392).

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

248082880080 is a wasteful number, since it uses less digits than its factorization.

248082880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21095513 (or 21095500 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 248082880080 in words is "two hundred forty-eight billion, eighty-two million, eight hundred eighty thousand, eighty".