27272913697 has 32 divisors (see below), whose sum is σ = 29876061600. Its totient is φ = 24794726400.

The previous prime is 27272913691. The next prime is 27272913719. The reversal of 27272913697 is 79631927272.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3041632801 + 24231280896 = 55151^2 + 155664^2 .

It is a cyclic number.

It is not a de Polignac number, because 27272913697 - 2¹¹ = 27272911649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27272913691) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38466379 + ... + 38467087.

It is an arithmetic number, because the mean of its divisors is an integer number (933626925).

Almost surely, 2^27272913697 is an apocalyptic number.

It is an amenable number.

27272913697 is a deficient number, since it is larger than the sum of its proper divisors (2603147903).

27272913697 is a wasteful number, since it uses less digits than its factorization.

27272913697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237.

The product of its digits is 4000752, while the sum is 55.

It can be divided in two parts, 272 and 72913697, that multiplied together give a square (19832525584 = 140828²).

The spelling of 27272913697 in words is "twenty-seven billion, two hundred seventy-two million, nine hundred thirteen thousand, six hundred ninety-seven".