85659666695658 has 48 divisors (see below), whose sum is σ = 214378203289536. Its totient is φ = 24430564475520.

The previous prime is 85659666695657. The next prime is 85659666695663.

85659666695658 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×85659666695658² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85659666695657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12724248966 + ... + 12724255697.

It is an arithmetic number, because the mean of its divisors is an integer number (4466212568532).

Almost surely, 2^{85659666695658} is an apocalyptic number.

85659666695658 is an abundant number, since it is smaller than the sum of its proper divisors (128718536593878).

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

85659666695658 is a wasteful number, since it uses less digits than its factorization.

85659666695658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25448504699 (or 25448504696 counting only the distinct ones).

The product of its digits is 151165440000, while the sum is 90.

The spelling of 85659666695658 in words is "eighty-five trillion, six hundred fifty-nine billion, six hundred sixty-six million, six hundred ninety-five thousand, six hundred fifty-eight".