85658706000 has 960 divisors, whose sum is σ = 354587590656. Its totient is φ = 18869760000.

The previous prime is 85658705969. The next prime is 85658706011. The reversal of 85658706000 is 60785658.

85658706000 is a `hidden beast` number, since 8 + 5 + 6 + 587 + 0 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 674477937 + ... + 674478063.

Almost surely, 2^85658706000 is an apocalyptic number.

85658706000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85658706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177293795328).

85658706000 is an abundant number, since it is smaller than the sum of its proper divisors (268928884656).

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

85658706000 is a wasteful number, since it uses less digits than its factorization.

85658706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

It can be divided in two parts, 8565870 and 6000, that added together give a triangular number (8571870 = T₄₁₄₀).

The spelling of 85658706000 in words is "eighty-five billion, six hundred fifty-eight million, seven hundred six thousand".