127982021706 has 384 divisors, whose sum is σ = 387632977920. Its totient is φ = 30837542400.

The previous prime is 127982021693. The next prime is 127982021747. The reversal of 127982021706 is 607120289721.

It is a happy number.

127982021706 is a `hidden beast` number, since 1 + 279 + 8 + 202 + 170 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35129121 + ... + 35132763.

It is an arithmetic number, because the mean of its divisors is an integer number (1009460880).

Almost surely, 2^127982021706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127982021706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193816488960).

127982021706 is an abundant number, since it is smaller than the sum of its proper divisors (259650956214).

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

127982021706 is a wasteful number, since it uses less digits than its factorization.

127982021706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 127982021706 in words is "one hundred twenty-seven billion, nine hundred eighty-two million, twenty-one thousand, seven hundred six".