85859831680 has 192 divisors, whose sum is σ = 245230725600. Its totient is φ = 28156981248.

The previous prime is 85859831641. The next prime is 85859831683. The reversal of 85859831680 is 8613895858.

It is a super-2 number, since 2×85859831680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85859831683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2351806 + ... + 2388034.

Almost surely, 2^85859831680 is an apocalyptic number.

85859831680 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 85859831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122615362800).

85859831680 is an abundant number, since it is smaller than the sum of its proper divisors (159370893920).

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

85859831680 is a wasteful number, since it uses less digits than its factorization.

85859831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36301 (or 36266 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 61.

The spelling of 85859831680 in words is "eighty-five billion, eight hundred fifty-nine million, eight hundred thirty-one thousand, six hundred eighty".