31727682107982 has 192 divisors, whose sum is σ = 83353220481024. Its totient is φ = 8514595584000.

The previous prime is 31727682107981. The next prime is 31727682108029. The reversal of 31727682107982 is 28970128672713.

31727682107982 is a `hidden beast` number, since 3 + 1 + 7 + 276 + 8 + 210 + 79 + 82 = 666.

It is a super-2 number, since 2×31727682107982² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31727682107981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2665513843 + ... + 2665525745.

It is an arithmetic number, because the mean of its divisors is an integer number (434131356672).

Almost surely, 2^{31727682107982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31727682107982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41676610240512).

31727682107982 is an abundant number, since it is smaller than the sum of its proper divisors (51625538373042).

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

31727682107982 is a wasteful number, since it uses less digits than its factorization.

31727682107982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14343 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 31727682107982 in words is "thirty-one trillion, seven hundred twenty-seven billion, six hundred eighty-two million, one hundred seven thousand, nine hundred eighty-two".