248488537680 has 180 divisors, whose sum is σ = 862297705620. Its totient is φ = 64125895680.

The previous prime is 248488537673. The next prime is 248488537699. The reversal of 248488537680 is 86735884842.

248488537680 is a `hidden beast` number, since 2 + 4 + 8 + 488 + 5 + 3 + 76 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52852170816 + 195636366864 = 229896^2 + 442308^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 512356 + ... + 871484.

It is an arithmetic number, because the mean of its divisors is an integer number (4790542809).

Almost surely, 2^248488537680 is an apocalyptic number.

248488537680 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 248488537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431148852810).

248488537680 is an abundant number, since it is smaller than the sum of its proper divisors (613809167940).

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

248488537680 is a wasteful number, since it uses less digits than its factorization.

248488537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359210 (or 359170 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 248488537680 in words is "two hundred forty-eight billion, four hundred eighty-eight million, five hundred thirty-seven thousand, six hundred eighty".