85059644670 has 1152 divisors, whose sum is σ = 329815729152. Its totient is φ = 15355422720.

The previous prime is 85059644651. The next prime is 85059644671. The reversal of 85059644670 is 7644695058.

85059644670 is a `hidden beast` number, since 8 + 5 + 0 + 596 + 4 + 46 + 7 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85059644671) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5003508502 + ... + 5003508518.

It is an arithmetic number, because the mean of its divisors is an integer number (286298376).

Almost surely, 2^85059644670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85059644670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164907864576).

85059644670 is an abundant number, since it is smaller than the sum of its proper divisors (244756084482).

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

85059644670 is a wasteful number, since it uses less digits than its factorization.

85059644670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 85059644670 in words is "eighty-five billion, fifty-nine million, six hundred forty-four thousand, six hundred seventy".