8668180133600 has 288 divisors, whose sum is σ = 23061426161760. Its totient is φ = 3162347274240.

The previous prime is 8668180133581. The next prime is 8668180133671. The reversal of 8668180133600 is 63310818668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1866932879 + ... + 1866937521.

It is an arithmetic number, because the mean of its divisors is an integer number (80074396395).

Almost surely, 2^{8668180133600} is an apocalyptic number.

8668180133600 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 8668180133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530713080880).

8668180133600 is an abundant number, since it is smaller than the sum of its proper divisors (14393246028160).

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

8668180133600 is a wasteful number, since it uses less digits than its factorization.

8668180133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 8668180133600 in words is "eight trillion, six hundred sixty-eight billion, one hundred eighty million, one hundred thirty-three thousand, six hundred".