27765013777765 has 16 divisors (see below), whose sum is σ = 37120266005760. Its totient is φ = 19763104582720.

The previous prime is 27765013777717. The next prime is 27765013777789. The reversal of 27765013777765 is 56777731056772.

It is not a de Polignac number, because 27765013777765 - 2¹¹ = 27765013775717 is a prime.

It is a super-3 number, since 3×27765013777765³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27765013777694 and 27765013777703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5370406270 + ... + 5370411439.

It is an arithmetic number, because the mean of its divisors is an integer number (2320016625360).

Almost surely, 2^{27765013777765} is an apocalyptic number.

It is an amenable number.

27765013777765 is a deficient number, since it is larger than the sum of its proper divisors (9355252227995).

27765013777765 is a wasteful number, since it uses less digits than its factorization.

27765013777765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740817772.

The product of its (nonzero) digits is 635304600, while the sum is 70.

The spelling of 27765013777765 in words is "twenty-seven trillion, seven hundred sixty-five billion, thirteen million, seven hundred seventy-seven thousand, seven hundred sixty-five".