1601060008900 has 81 divisors (see below), whose sum is σ = 3819190935693. Its totient is φ = 582153026400.

The previous prime is 1601060008853. The next prime is 1601060008901. The reversal of 1601060008900 is 98000601061.

It is a happy number.

The square root of 1601060008900 is 1265330.

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., 576381603204 + 1024678405696 = 759198^2 + 1012264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1601060008901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139180549 + ... + 139192051.

Almost surely, 2^{1601060008900} is an apocalyptic number.

1601060008900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1601060008900 is the 1265330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601060008900

1601060008900 is an abundant number, since it is smaller than the sum of its proper divisors (2218130926793).

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

1601060008900 is an equidigital number, since it uses as much as digits as its factorization.

1601060008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23042 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

Adding to 1601060008900 its reverse (98000601061), we get a palindrome (1699060609961).

The spelling of 1601060008900 in words is "one trillion, six hundred one billion, sixty million, eight thousand, nine hundred".