272661508900 has 243 divisors, whose sum is σ = 671129970931. Its totient is φ = 96079280000.

The previous prime is 272661508849. The next prime is 272661508909. The reversal of 272661508900 is 9805166272.

The square root of 272661508900 is 522170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50345486884 + 222316022016 = 224378^2 + 471504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272661508909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2699618850 + ... + 2699618950.

Almost surely, 2^272661508900 is an apocalyptic number.

272661508900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

272661508900 is the 522170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272661508900

272661508900 is an abundant number, since it is smaller than the sum of its proper divisors (398468462031).

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

272661508900 is a wasteful number, since it uses less digits than its factorization.

272661508900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 272661508900 in words is "two hundred seventy-two billion, six hundred sixty-one million, five hundred eight thousand, nine hundred".