27822106032128 has 96 divisors (see below), whose sum is σ = 58865159808000. Its totient is φ = 13109889392640.

The previous prime is 27822106032121. The next prime is 27822106032131. The reversal of 27822106032128 is 82123060122872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27822106032121) 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, 5560463 + ... + 9303921.

It is an arithmetic number, because the mean of its divisors is an integer number (613178748000).

Almost surely, 2^{27822106032128} 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 27822106032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29432579904000).

27822106032128 is an abundant number, since it is smaller than the sum of its proper divisors (31043053775872).

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

27822106032128 is a wasteful number, since it uses less digits than its factorization.

27822106032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743691 (or 3743671 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 27822106032128 in words is "twenty-seven trillion, eight hundred twenty-two billion, one hundred six million, thirty-two thousand, one hundred twenty-eight".