8454216880800 has 432 divisors, whose sum is σ = 31392076716000. Its totient is φ = 2135029155840.

The previous prime is 8454216880771. The next prime is 8454216880873. The reversal of 8454216880800 is 80886124548.

8454216880800 is a `hidden beast` number, since 8 + 4 + 5 + 421 + 68 + 80 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 441717631 + ... + 441736769.

It is an arithmetic number, because the mean of its divisors is an integer number (72666844250).

Almost surely, 2^{8454216880800} is an apocalyptic number.

8454216880800 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 8454216880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696038358000).

8454216880800 is an abundant number, since it is smaller than the sum of its proper divisors (22937859835200).

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

8454216880800 is a wasteful number, since it uses less digits than its factorization.

8454216880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22413 (or 22397 counting only the distinct ones).

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

The spelling of 8454216880800 in words is "eight trillion, four hundred fifty-four billion, two hundred sixteen million, eight hundred eighty thousand, eight hundred".