248250562560 has 2880 divisors, whose sum is σ = 1253499287040. Its totient is φ = 45546209280.

The previous prime is 248250562541. The next prime is 248250562601. The reversal of 248250562560 is 65265052842.

It is a happy number.

248250562560 is a `hidden beast` number, since 2 + 4 + 8 + 25 + 0 + 5 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×248250562560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 10793502709 + ... + 10793502731.

It is an arithmetic number, because the mean of its divisors is an integer number (435242808).

Almost surely, 2^248250562560 is an apocalyptic number.

248250562560 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 248250562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626749643520).

248250562560 is an abundant number, since it is smaller than the sum of its proper divisors (1005248724480).

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

248250562560 is a wasteful number, since it uses less digits than its factorization.

248250562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 248250562560 in words is "two hundred forty-eight billion, two hundred fifty million, five hundred sixty-two thousand, five hundred sixty".