85605650658 has 256 divisors, whose sum is σ = 217932249600. Its totient is φ = 24679157760.

The previous prime is 85605650617. The next prime is 85605650671.

85605650658 is a `hidden beast` number, since 85 + 6 + 0 + 5 + 6 + 506 + 58 = 666.

85605650658 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 367406110 + ... + 367406342.

It is an arithmetic number, because the mean of its divisors is an integer number (851297850).

Almost surely, 2^85605650658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85605650658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108966124800).

85605650658 is an abundant number, since it is smaller than the sum of its proper divisors (132326598942).

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

85605650658 is a wasteful number, since it uses less digits than its factorization.

85605650658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 85605650658 in words is "eighty-five billion, six hundred five million, six hundred fifty thousand, six hundred fifty-eight".