8182558560 has 192 divisors, whose sum is σ = 28171825920. Its totient is φ = 1979873280.

The previous prime is 8182558543. The next prime is 8182558561. The reversal of 8182558560 is 658552818.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8182558561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3605106 + ... + 3607374.

It is an arithmetic number, because the mean of its divisors is an integer number (146728260).

Almost surely, 2^8182558560 is an apocalyptic number.

8182558560 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 8182558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085912960).

8182558560 is an abundant number, since it is smaller than the sum of its proper divisors (19989267360).

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

8182558560 is a wasteful number, since it uses less digits than its factorization.

8182558560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The square root of 8182558560 is about 90457.4958751346. The cubic root of 8182558560 is about 2015.0989375241.

The spelling of 8182558560 in words is "eight billion, one hundred eighty-two million, five hundred fifty-eight thousand, five hundred sixty".