85579482544080 has 640 divisors, whose sum is σ = 313887909888000. Its totient is φ = 19277933101056.

The previous prime is 85579482544069. The next prime is 85579482544081. The reversal of 85579482544080 is 8044528497558.

It is a junction number, because it is equal to n+sod(n) for n = 85579482543996 and 85579482544014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85579482544081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1908402139 + ... + 1908446981.

It is an arithmetic number, because the mean of its divisors is an integer number (490449859200).

Almost surely, 2^{85579482544080} is an apocalyptic number.

85579482544080 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 85579482544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156943954944000).

85579482544080 is an abundant number, since it is smaller than the sum of its proper divisors (228308427343920).

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

85579482544080 is a wasteful number, since it uses less digits than its factorization.

85579482544080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45216 (or 45196 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 69.

The spelling of 85579482544080 in words is "eighty-five trillion, five hundred seventy-nine billion, four hundred eighty-two million, five hundred forty-four thousand, eighty".