85636307680 has 288 divisors, whose sum is σ = 255914769600. Its totient is φ = 26506444800.

The previous prime is 85636307663. The next prime is 85636307681. The reversal of 85636307680 is 8670363658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85636307681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20190360 + ... + 20194600.

It is an arithmetic number, because the mean of its divisors is an integer number (888592950).

Almost surely, 2^85636307680 is an apocalyptic number.

85636307680 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 85636307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127957384800).

85636307680 is an abundant number, since it is smaller than the sum of its proper divisors (170278461920).

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

85636307680 is a wasteful number, since it uses less digits than its factorization.

85636307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 85636307680 in words is "eighty-five billion, six hundred thirty-six million, three hundred seven thousand, six hundred eighty".