85318771177728 has 1440 divisors, whose sum is σ = 300571741274112. Its totient is φ = 23801908838400.

The previous prime is 85318771177709. The next prime is 85318771177741. The reversal of 85318771177728 is 82777117781358.

It is a happy number.

85318771177728 is a `hidden beast` number, since 8 + 5 + 318 + 7 + 71 + 177 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 32038590925 + ... + 32038593587.

Almost surely, 2^{85318771177728} is an apocalyptic number.

85318771177728 is a gapful number since it is divisible by the number (88) 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 85318771177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150285870637056).

85318771177728 is an abundant number, since it is smaller than the sum of its proper divisors (215252970096384).

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

85318771177728 is a wasteful number, since it uses less digits than its factorization.

85318771177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2930 counting only the distinct ones).

The product of its digits is 258155520, while the sum is 72.

It can be divided in two parts, 85 and 318771177728, that added together give a palindrome (318771177813).

The spelling of 85318771177728 in words is "eighty-five trillion, three hundred eighteen billion, seven hundred seventy-one million, one hundred seventy-seven thousand, seven hundred twenty-eight".