270225071298576 has 405 divisors, whose sum is σ = 817361701343109. Its totient is φ = 83323590451200.

The previous prime is 270225071298467. The next prime is 270225071298577. The reversal of 270225071298576 is 675892170522072.

The square root of 270225071298576 is 16438524.

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

270225071298576 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 2 + 50 + 7 + 1 + 2 + 9 + 8 + 576 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 82310982051600 + 187914089246976 = 9072540^2 + 13708176^2 .

It is not an unprimeable number, because it can be changed into a prime (270225071298577) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 204560991996 + ... + 204560993316.

Almost surely, 2^{270225071298576} is an apocalyptic number.

270225071298576 is the 16438524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270225071298576

270225071298576 is an abundant number, since it is smaller than the sum of its proper divisors (547136630044533).

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

270225071298576 is an equidigital number, since it uses as much as digits as its factorization.

270225071298576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 270225071298576 in words is "two hundred seventy trillion, two hundred twenty-five billion, seventy-one million, two hundred ninety-eight thousand, five hundred seventy-six".