272988160825 has 24 divisors (see below), whose sum is σ = 346965277176. Its totient is φ = 212938752000.

The previous prime is 272988160813. The next prime is 272988160849. The reversal of 272988160825 is 528061889272.

It can be written as a sum of positive squares in 12 ways, for example, as 38236282681 + 234751878144 = 195541^2 + 484512^2 .

It is not a de Polignac number, because 272988160825 - 2¹⁷ = 272988029753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 272988160825.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1686649 + ... + 1841401.

It is an arithmetic number, because the mean of its divisors is an integer number (14456886549).

Almost surely, 2^272988160825 is an apocalyptic number.

272988160825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

272988160825 is a deficient number, since it is larger than the sum of its proper divisors (73977116351).

272988160825 is a wasteful number, since it uses less digits than its factorization.

272988160825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156525 (or 156520 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 272988160825 in words is "two hundred seventy-two billion, nine hundred eighty-eight million, one hundred sixty thousand, eight hundred twenty-five".