27362085680 has 20 divisors (see below), whose sum is σ = 63616849392. Its totient is φ = 10944834240.

The previous prime is 27362085679. The next prime is 27362085683. The reversal of 27362085680 is 8658026372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×27362085680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27362085683) 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 3 ways as a sum of consecutive naturals, for example, 171012956 + ... + 171013115.

Almost surely, 2^27362085680 is an apocalyptic number.

27362085680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27362085680 is an abundant number, since it is smaller than the sum of its proper divisors (36254763712).

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

27362085680 is a wasteful number, since it uses less digits than its factorization.

27362085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342026084 (or 342026078 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 27362085680 in words is "twenty-seven billion, three hundred sixty-two million, eighty-five thousand, six hundred eighty".