8200605868900 has 27 divisors (see below), whose sum is σ = 17795376877369. Its totient is φ = 3280230892880.

The previous prime is 8200605868853. The next prime is 8200605868943. The reversal of 8200605868900 is 98685060028.

The square root of 8200605868900 is 2863670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2952218112804 + 5248387756096 = 1718202^2 + 2290936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28493517 + ... + 28779883.

Almost surely, 2^{8200605868900} is an apocalyptic number.

8200605868900 is the 2863670-th square number.

It is an amenable number.

8200605868900 is an abundant number, since it is smaller than the sum of its proper divisors (9594771008469).

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

8200605868900 is an frugal number, since it uses more digits than its factorization.

8200605868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572748 (or 286374 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 8200605868900 in words is "eight trillion, two hundred billion, six hundred five million, eight hundred sixty-eight thousand, nine hundred".