8582801228064 has 864 divisors, whose sum is σ = 29707704778752. Its totient is φ = 2341011456000.

The previous prime is 8582801228063. The next prime is 8582801228093. The reversal of 8582801228064 is 4608221082858.

8582801228064 is a `hidden beast` number, since 85 + 8 + 280 + 1 + 2 + 280 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8582801228064.

It is not an unprimeable number, because it can be changed into a prime (8582801228063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13389705184 + ... + 13389705824.

It is an arithmetic number, because the mean of its divisors is an integer number (34383917568).

Almost surely, 2^{8582801228064} is an apocalyptic number.

8582801228064 is a gapful number since it is divisible by the number (84) 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 8582801228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853852389376).

8582801228064 is an abundant number, since it is smaller than the sum of its proper divisors (21124903550688).

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

8582801228064 is a wasteful number, since it uses less digits than its factorization.

8582801228064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 8582801228064 in words is "eight trillion, five hundred eighty-two billion, eight hundred one million, two hundred twenty-eight thousand, sixty-four".