82127081088 has 1024 divisors, whose sum is σ = 296110080000. Its totient is φ = 22159982592.

The previous prime is 82127081081. The next prime is 82127081137. The reversal of 82127081088 is 88018072128.

It is not an unprimeable number, because it can be changed into a prime (82127081081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 922776148 + ... + 922776236.

It is an arithmetic number, because the mean of its divisors is an integer number (289170000).

Almost surely, 2^82127081088 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 82127081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040000).

82127081088 is an abundant number, since it is smaller than the sum of its proper divisors (213982998912).

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

82127081088 is a wasteful number, since it uses less digits than its factorization.

82127081088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 82127081088 in words is "eighty-two billion, one hundred twenty-seven million, eighty-one thousand, eighty-eight".