86779785582 has 96 divisors (see below), whose sum is σ = 221914128384. Its totient is φ = 23983689600.

The previous prime is 86779785559. The next prime is 86779785583. The reversal of 86779785582 is 28558797768.

86779785582 is a `hidden beast` number, since 8 + 67 + 7 + 9 + 7 + 8 + 558 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86779785582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86779785583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13304482 + ... + 13311002.

It is an arithmetic number, because the mean of its divisors is an integer number (2311605504).

Almost surely, 2^86779785582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86779785582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110957064192).

86779785582 is an abundant number, since it is smaller than the sum of its proper divisors (135134342802).

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

86779785582 is a wasteful number, since it uses less digits than its factorization.

86779785582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9971 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 72.

The spelling of 86779785582 in words is "eighty-six billion, seven hundred seventy-nine million, seven hundred eighty-five thousand, five hundred eighty-two".