27683082160 has 40 divisors (see below), whose sum is σ = 66582591120. Its totient is φ = 10691396352.

The previous prime is 27683082157. The next prime is 27683082169. The reversal of 27683082160 is 6128038672.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×27683082160³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (27683082169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5963862 + ... + 5968501.

It is an arithmetic number, because the mean of its divisors is an integer number (1664564778).

Almost surely, 2^27683082160 is an apocalyptic number.

27683082160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27683082160 is an abundant number, since it is smaller than the sum of its proper divisors (38899508960).

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

27683082160 is a wasteful number, since it uses less digits than its factorization.

27683082160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11932405 (or 11932399 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 27683082160 in words is "twenty-seven billion, six hundred eighty-three million, eighty-two thousand, one hundred sixty".