818205602086200 has 192 divisors, whose sum is σ = 2573906545152000. Its totient is φ = 214976537418240.

The previous prime is 818205602086153. The next prime is 818205602086207. The reversal of 818205602086200 is 2680206502818.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 818205602086200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818205602086207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4686102 + ... + 40723098.

It is an arithmetic number, because the mean of its divisors is an integer number (13405763256000).

Almost surely, 2^{818205602086200} 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 818205602086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286953272576000).

818205602086200 is an abundant number, since it is smaller than the sum of its proper divisors (1755700943065800).

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

818205602086200 is a wasteful number, since it uses less digits than its factorization.

818205602086200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36037574 (or 36037565 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 818205602086200 in words is "eight hundred eighteen trillion, two hundred five billion, six hundred two million, eighty-six thousand, two hundred".