85670644607658 has 192 divisors, whose sum is σ = 210177220556160. Its totient is φ = 24991864934400.

The previous prime is 85670644607629. The next prime is 85670644607659.

85670644607658 is a `hidden beast` number, since 8 + 5 + 6 + 7 + 0 + 6 + 4 + 4 + 607 + 6 + 5 + 8 = 666.

85670644607658 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85670644607659) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323288478 + ... + 323553366.

It is an arithmetic number, because the mean of its divisors is an integer number (1094673023730).

Almost surely, 2^{85670644607658} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85670644607658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105088610278080).

85670644607658 is an abundant number, since it is smaller than the sum of its proper divisors (124506575948502).

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

85670644607658 is a wasteful number, since it uses less digits than its factorization.

85670644607658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265413 (or 265410 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 85670644607658 in words is "eighty-five trillion, six hundred seventy billion, six hundred forty-four million, six hundred seven thousand, six hundred fifty-eight".