272355115680 has 72 divisors (see below), whose sum is σ = 929411837172. Its totient is φ = 72628030464.

The previous prime is 272355115679. The next prime is 272355115811. The reversal of 272355115680 is 86511553272.

272355115680 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 5 + 511 + 56 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 270246101904 + 2109013776 = 519852^2 + 45924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94566309 + ... + 94569188.

Almost surely, 2^272355115680 is an apocalyptic number.

272355115680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272355115680 is an abundant number, since it is smaller than the sum of its proper divisors (657056721492).

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

272355115680 is a wasteful number, since it uses less digits than its factorization.

272355115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189135518 (or 189135507 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 272355115680 in words is "two hundred seventy-two billion, three hundred fifty-five million, one hundred fifteen thousand, six hundred eighty".