27806214128 has 80 divisors (see below), whose sum is σ = 67294026240. Its totient is φ = 10813305600.

The previous prime is 27806214091. The next prime is 27806214133. The reversal of 27806214128 is 82141260872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645653 + ... + 687371.

It is an arithmetic number, because the mean of its divisors is an integer number (841175328).

Almost surely, 2^27806214128 is an apocalyptic number.

27806214128 is a gapful number since it is divisible by the number (28) 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 27806214128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33647013120).

27806214128 is an abundant number, since it is smaller than the sum of its proper divisors (39487812112).

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

27806214128 is a wasteful number, since it uses less digits than its factorization.

27806214128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42286 (or 42280 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 27806214128 in words is "twenty-seven billion, eight hundred six million, two hundred fourteen thousand, one hundred twenty-eight".