8254858560 has 448 divisors, whose sum is σ = 30696529920. Its totient is φ = 1861263360.

The previous prime is 8254858553. The next prime is 8254858567. The reversal of 8254858560 is 658584528.

It is an interprime number because it is at equal distance from previous prime (8254858553) and next prime (8254858567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8254858567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7350159 + ... + 7351281.

It is an arithmetic number, because the mean of its divisors is an integer number (68519040).

Almost surely, 2^8254858560 is an apocalyptic number.

8254858560 is a gapful number since it is divisible by the number (80) 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 8254858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348264960).

8254858560 is an abundant number, since it is smaller than the sum of its proper divisors (22441671360).

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

8254858560 is a wasteful number, since it uses less digits than its factorization.

8254858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 51.

The square root of 8254858560 is about 90856.2521789227. The cubic root of 8254858560 is about 2021.0165911999.

The spelling of 8254858560 in words is "eight billion, two hundred fifty-four million, eight hundred fifty-eight thousand, five hundred sixty".