27768500319 has 16 divisors (see below), whose sum is σ = 42352512768. Its totient is φ = 15853236672.

The previous prime is 27768500299. The next prime is 27768500351. The reversal of 27768500319 is 91300586772.

It is not a de Polignac number, because 27768500319 - 2¹³ = 27768492127 is a prime.

It is a super-2 number, since 2×27768500319² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27768505319) by changing a digit.

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, 579657 + ... + 625730.

It is an arithmetic number, because the mean of its divisors is an integer number (2647032048).

Almost surely, 2^27768500319 is an apocalyptic number.

27768500319 is a deficient number, since it is larger than the sum of its proper divisors (14584012449).

27768500319 is a wasteful number, since it uses less digits than its factorization.

27768500319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206494.

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 27768500319 in words is "twenty-seven billion, seven hundred sixty-eight million, five hundred thousand, three hundred nineteen".