85658113170 has 320 divisors, whose sum is σ = 275358859776. Its totient is φ = 18681062400.

The previous prime is 85658113159. The next prime is 85658113181. The reversal of 85658113170 is 7131185658.

85658113170 is a `hidden beast` number, since 8 + 56 + 581 + 1 + 3 + 17 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85658113159) and next prime (85658113181).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91416942 + ... + 91417878.

Almost surely, 2^85658113170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85658113170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137679429888).

85658113170 is an abundant number, since it is smaller than the sum of its proper divisors (189700746606).

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

85658113170 is a wasteful number, since it uses less digits than its factorization.

85658113170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 85658113170 in words is "eighty-five billion, six hundred fifty-eight million, one hundred thirteen thousand, one hundred seventy".