248755765580 has 96 divisors (see below), whose sum is σ = 618328166400. Its totient is φ = 82249719552.

The previous prime is 248755765567. The next prime is 248755765639. The reversal of 248755765580 is 85567557842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3451877 + ... + 3523203.

It is an arithmetic number, because the mean of its divisors is an integer number (6440918400).

Almost surely, 2^248755765580 is an apocalyptic number.

248755765580 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 248755765580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309164083200).

248755765580 is an abundant number, since it is smaller than the sum of its proper divisors (369572400820).

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

248755765580 is a wasteful number, since it uses less digits than its factorization.

248755765580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72231 (or 72229 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 62.

The spelling of 248755765580 in words is "two hundred forty-eight billion, seven hundred fifty-five million, seven hundred sixty-five thousand, five hundred eighty".