27609211010216 has 128 divisors (see below), whose sum is σ = 58242549657600. Its totient is φ = 12159370702080.

The previous prime is 27609211010209. The next prime is 27609211010257. The reversal of 27609211010216 is 61201011290672.

It is a self number, because there is not a number n which added to its sum of digits gives 27609211010216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3201806081 + ... + 3201814703.

It is an arithmetic number, because the mean of its divisors is an integer number (455019919200).

Almost surely, 2^{27609211010216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27609211010216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29121274828800).

27609211010216 is an abundant number, since it is smaller than the sum of its proper divisors (30633338647384).

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

27609211010216 is a wasteful number, since it uses less digits than its factorization.

27609211010216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 27609211010216 in words is "twenty-seven trillion, six hundred nine billion, two hundred eleven million, ten thousand, two hundred sixteen".