18060205072900 has 81 divisors (see below), whose sum is σ = 41363721197589. Its totient is φ = 6843561204960.

The previous prime is 18060205072817. The next prime is 18060205072991. The reversal of 18060205072900 is 927050206081.

The square root of 18060205072900 is 4249730.

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., 6501673826244 + 11558531246656 = 2549838^2 + 3399784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 807437517 + ... + 807459883.

Almost surely, 2^{18060205072900} is an apocalyptic number.

18060205072900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18060205072900 is the 4249730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18060205072900

18060205072900 is an abundant number, since it is smaller than the sum of its proper divisors (23303516124689).

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

18060205072900 is an frugal number, since it uses more digits than its factorization.

18060205072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44786 (or 22393 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

Adding to 18060205072900 its reverse (927050206081), we get a palindrome (18987255278981).

The spelling of 18060205072900 in words is "eighteen trillion, sixty billion, two hundred five million, seventy-two thousand, nine hundred".