660205000900 has 81 divisors (see below), whose sum is σ = 1443535148853. Its totient is φ = 262089676800.

The previous prime is 660205000867. The next prime is 660205000919. The reversal of 660205000900 is 9000502066.

The square root of 660205000900 is 812530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 585234180036 + 74970820864 = 765006^2 + 273808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1568182690 + ... + 1568183110.

Almost surely, 2^660205000900 is an apocalyptic number.

660205000900 is the 812530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660205000900

660205000900 is an abundant number, since it is smaller than the sum of its proper divisors (783330147953).

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

660205000900 is an equidigital number, since it uses as much as digits as its factorization.

660205000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 660205000900 its reverse (9000502066), we get a palindrome (669205502966).

The spelling of 660205000900 in words is "six hundred sixty billion, two hundred five million, nine hundred", and thus it is an aban number.