8485121806200 has 720 divisors, whose sum is σ = 33177314875320. Its totient is φ = 1997808468480.

The previous prime is 8485121806121. The next prime is 8485121806201. The reversal of 8485121806200 is 26081215848.

8485121806200 is a `hidden beast` number, since 8 + 4 + 8 + 5 + 1 + 2 + 18 + 0 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8485121806201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 111369319 + ... + 111445481.

Almost surely, 2^{8485121806200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8485121806200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588657437660).

8485121806200 is an abundant number, since it is smaller than the sum of its proper divisors (24692193069120).

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

8485121806200 is a wasteful number, since it uses less digits than its factorization.

8485121806200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76250 (or 76209 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 8485121806200 in words is "eight trillion, four hundred eighty-five billion, one hundred twenty-one million, eight hundred six thousand, two hundred".