272048318486080 has 224 divisors, whose sum is σ = 675378690184800. Its totient is φ = 104250866270208.

The previous prime is 272048318486071. The next prime is 272048318486093. The reversal of 272048318486080 is 80684813840272.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 102625403904 + 271945693082176 = 320352^2 + 16490776^2 .

It is a super-2 number, since 2×272048318486080² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622441704 + ... + 622878616.

It is an arithmetic number, because the mean of its divisors is an integer number (3015083438325).

Almost surely, 2^{272048318486080} is an apocalyptic number.

272048318486080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272048318486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337689345092400).

272048318486080 is an abundant number, since it is smaller than the sum of its proper divisors (403330371698720).

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

272048318486080 is a wasteful number, since it uses less digits than its factorization.

272048318486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437481 (or 437471 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 61.

The spelling of 272048318486080 in words is "two hundred seventy-two trillion, forty-eight billion, three hundred eighteen million, four hundred eighty-six thousand, eighty".