27651682890 has 192 divisors, whose sum is σ = 79637699232. Its totient is φ = 6613401600.

The previous prime is 27651682879. The next prime is 27651682957. The reversal of 27651682890 is 9828615672.

It can be written as a sum of positive squares in 16 ways, for example, as 4102018209 + 23549664681 = 64047^2 + 153459^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13286650 + ... + 13288730.

Almost surely, 2^27651682890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27651682890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39818849616).

27651682890 is an abundant number, since it is smaller than the sum of its proper divisors (51986016342).

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

27651682890 is a wasteful number, since it uses less digits than its factorization.

27651682890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 27651682890 in words is "twenty-seven billion, six hundred fifty-one million, six hundred eighty-two thousand, eight hundred ninety".