85084750128 has 160 divisors (see below), whose sum is σ = 262583193600. Its totient is φ = 23716815360.

The previous prime is 85084750097. The next prime is 85084750133. The reversal of 85084750128 is 82105748058.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 612001 + ... + 738047.

It is an arithmetic number, because the mean of its divisors is an integer number (1641144960).

Almost surely, 2^85084750128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85084750128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131291596800).

85084750128 is an abundant number, since it is smaller than the sum of its proper divisors (177498443472).

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

85084750128 is a wasteful number, since it uses less digits than its factorization.

85084750128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126120 (or 126100 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 85084750128 in words is "eighty-five billion, eighty-four million, seven hundred fifty thousand, one hundred twenty-eight".