86616061668 has 96 divisors (see below), whose sum is σ = 225337835520. Its totient is φ = 28772249760.

The previous prime is 86616061639. The next prime is 86616061687.

86616061668 is a `hidden beast` number, since 8 + 6 + 6 + 16 + 0 + 616 + 6 + 8 = 666.

86616061668 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56574063 + ... + 56575593.

It is an arithmetic number, because the mean of its divisors is an integer number (2347269120).

Almost surely, 2^86616061668 is an apocalyptic number.

It is an amenable number.

86616061668 is an abundant number, since it is smaller than the sum of its proper divisors (138721773852).

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

86616061668 is a wasteful number, since it uses less digits than its factorization.

86616061668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 86616061668 in words is "eighty-six billion, six hundred sixteen million, sixty-one thousand, six hundred sixty-eight".