8505854164800 has 252 divisors, whose sum is σ = 31048892028076. Its totient is φ = 2206924185600.

The previous prime is 8505854164789. The next prime is 8505854164823. The reversal of 8505854164800 is 84614585058.

8505854164800 is a `hidden beast` number, since 8 + 5 + 0 + 58 + 541 + 6 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8675804736 + 8497178360064 = 93144^2 + 2914992^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7449421 + ... + 8515020.

Almost surely, 2^{8505854164800} is an apocalyptic number.

8505854164800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8505854164800 is an abundant number, since it is smaller than the sum of its proper divisors (22543037863276).

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

8505854164800 is a wasteful number, since it uses less digits than its factorization.

8505854164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15964506 (or 15964488 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 8505854164800 in words is "eight trillion, five hundred five billion, eight hundred fifty-four million, one hundred sixty-four thousand, eight hundred".