82719076986 has 384 divisors, whose sum is σ = 245136844800. Its totient is φ = 20169077760.

The previous prime is 82719076981. The next prime is 82719077011. The reversal of 82719076986 is 68967091728.

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

It is not an unprimeable number, because it can be changed into a prime (82719076981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64073001 + ... + 64074291.

It is an arithmetic number, because the mean of its divisors is an integer number (638377200).

Almost surely, 2^82719076986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82719076986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122568422400).

82719076986 is an abundant number, since it is smaller than the sum of its proper divisors (162417767814).

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

82719076986 is a wasteful number, since it uses less digits than its factorization.

82719076986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 82719076986 in words is "eighty-two billion, seven hundred nineteen million, seventy-six thousand, nine hundred eighty-six".