27609081000 has 128 divisors (see below), whose sum is σ = 86324659200. Its totient is φ = 7346668800.

The previous prime is 27609080999. The next prime is 27609081007. The reversal of 27609081000 is 18090672.

It is a super-2 number, since 2×27609081000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27609081007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427394 + ... + 1446606.

It is an arithmetic number, because the mean of its divisors is an integer number (674411400).

Almost surely, 2^27609081000 is an apocalyptic number.

27609081000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27609081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43162329600).

27609081000 is an abundant number, since it is smaller than the sum of its proper divisors (58715578200).

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

27609081000 is a wasteful number, since it uses less digits than its factorization.

27609081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19716 (or 19702 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 27609081000 in words is "twenty-seven billion, six hundred nine million, eighty-one thousand".