85879343160 has 192 divisors, whose sum is σ = 303956452800. Its totient is φ = 20901906432.

The previous prime is 85879343153. The next prime is 85879343171. The reversal of 85879343160 is 6134397858.

85879343160 is a `hidden beast` number, since 8 + 587 + 9 + 3 + 43 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85879343097 and 85879343106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313429 + ... + 519611.

It is an arithmetic number, because the mean of its divisors is an integer number (1583106525).

Almost surely, 2^85879343160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85879343160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151978226400).

85879343160 is an abundant number, since it is smaller than the sum of its proper divisors (218077109640).

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

85879343160 is a wasteful number, since it uses less digits than its factorization.

85879343160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206302 (or 206295 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 85879343160 in words is "eighty-five billion, eight hundred seventy-nine million, three hundred forty-three thousand, one hundred sixty".