27077072765 has 16 divisors (see below), whose sum is σ = 32991247728. Its totient is φ = 21330118656.

The previous prime is 27077072741. The next prime is 27077072821. The reversal of 27077072765 is 56727077072.

It can be written as a sum of positive squares in 8 ways, for example, as 6711214084 + 20365858681 = 81922^2 + 142709^2 .

It is a cyclic number.

It is not a de Polignac number, because 27077072765 - 2³⁴ = 9897203581 is a prime.

It is a super-3 number, since 3×27077072765³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 165089 + ... + 285321.

It is an arithmetic number, because the mean of its divisors is an integer number (2061952983).

Almost surely, 2^27077072765 is an apocalyptic number.

It is an amenable number.

27077072765 is a deficient number, since it is larger than the sum of its proper divisors (5914174963).

27077072765 is a wasteful number, since it uses less digits than its factorization.

27077072765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120928.

The product of its (nonzero) digits is 2016840, while the sum is 50.

The spelling of 27077072765 in words is "twenty-seven billion, seventy-seven million, seventy-two thousand, seven hundred sixty-five".