8581208208000 has 512 divisors, whose sum is σ = 29667565025280. Its totient is φ = 2191638528000.

The previous prime is 8581208207981. The next prime is 8581208208007. The reversal of 8581208208000 is 8028021858.

It is not an unprimeable number, because it can be changed into a prime (8581208208007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144306274 + ... + 144365726.

It is an arithmetic number, because the mean of its divisors is an integer number (57944462940).

Almost surely, 2^{8581208208000} is an apocalyptic number.

8581208208000 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 8581208208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833782512640).

8581208208000 is an abundant number, since it is smaller than the sum of its proper divisors (21086356817280).

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

8581208208000 is a wasteful number, since it uses less digits than its factorization.

8581208208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59613 (or 59591 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The spelling of 8581208208000 in words is "eight trillion, five hundred eighty-one billion, two hundred eight million, two hundred eight thousand".