272066560000 has 225 divisors, whose sum is σ = 684124924791. Its totient is φ = 108158976000.

The previous prime is 272066559949. The next prime is 272066560019. The reversal of 272066560000 is 65660272.

It is a happy number.

The square root of 272066560000 is 521600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 21330018304 + 250736541696 = 146048^2 + 500736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1669119919 + ... + 1669120081.

Almost surely, 2^272066560000 is an apocalyptic number.

272066560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

272066560000 is the 521600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272066560000

272066560000 is an abundant number, since it is smaller than the sum of its proper divisors (412058364791).

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

272066560000 is an frugal number, since it uses more digits than its factorization.

272066560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 272066560000 in words is "two hundred seventy-two billion, sixty-six million, five hundred sixty thousand".