85768080080 has 160 divisors (see below), whose sum is σ = 210656160000. Its totient is φ = 32411529216.

The previous prime is 85768080071. The next prime is 85768080109. The reversal of 85768080080 is 8008086758.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 100079012 + ... + 100079868.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601000).

Almost surely, 2^85768080080 is an apocalyptic number.

85768080080 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 85768080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080000).

85768080080 is an abundant number, since it is smaller than the sum of its proper divisors (124888079920).

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

85768080080 is a wasteful number, since it uses less digits than its factorization.

85768080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 50.

The spelling of 85768080080 in words is "eighty-five billion, seven hundred sixty-eight million, eighty thousand, eighty".