248515706880 has 720 divisors, whose sum is σ = 1028291372640. Its totient is φ = 56778817536.

The previous prime is 248515706843. The next prime is 248515706903. The reversal of 248515706880 is 88607515842.

248515706880 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 1 + 570 + 68 + 8 + 0 = 666.

248515706880 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 (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108379014 + ... + 108381306.

It is an arithmetic number, because the mean of its divisors is an integer number (1428182462).

Almost surely, 2^248515706880 is an apocalyptic number.

248515706880 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 248515706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514145686320).

248515706880 is an abundant number, since it is smaller than the sum of its proper divisors (779775665760).

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

248515706880 is an equidigital number, since it uses as much as digits as its factorization.

248515706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 248515706880 in words is "two hundred forty-eight billion, five hundred fifteen million, seven hundred six thousand, eight hundred eighty".