85627472658 has 192 divisors, whose sum is σ = 217553236992. Its totient is φ = 22267889280.

The previous prime is 85627472641. The next prime is 85627472743.

85627472658 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174393793 + ... + 174394283.

It is an arithmetic number, because the mean of its divisors is an integer number (1133089776).

Almost surely, 2^85627472658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85627472658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108776618496).

85627472658 is an abundant number, since it is smaller than the sum of its proper divisors (131925764334).

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

85627472658 is a wasteful number, since it uses less digits than its factorization.

85627472658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 85627472658 in words is "eighty-five billion, six hundred twenty-seven million, four hundred seventy-two thousand, six hundred fifty-eight".