248286850560 has 400 divisors, whose sum is σ = 1016331709536. Its totient is φ = 56750948352.

The previous prime is 248286850547. The next prime is 248286850619. The reversal of 248286850560 is 65058682842.

It is a happy number.

248286850560 is a `hidden beast` number, since 2 + 4 + 8 + 28 + 6 + 8 + 50 + 560 = 666.

It is a super-2 number, since 2×248286850560² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 248286850497 and 248286850506.

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 39 ways as a sum of consecutive naturals, for example, 1365994 + ... + 1537046.

Almost surely, 2^248286850560 is an apocalyptic number.

248286850560 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 248286850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508165854768).

248286850560 is an abundant number, since it is smaller than the sum of its proper divisors (768044858976).

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

248286850560 is an equidigital number, since it uses as much as digits as its factorization.

248286850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171095 (or 171070 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 248286850560 in words is "two hundred forty-eight billion, two hundred eighty-six million, eight hundred fifty thousand, five hundred sixty".