85585500000 has 2016 divisors, whose sum is σ = 429969496320. Its totient is φ = 15552000000.

The previous prime is 85585499869. The next prime is 85585500037. The reversal of 85585500000 is 558558.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 4504499991 + ... + 4504500009.

It is an arithmetic number, because the mean of its divisors is an integer number (213278520).

Almost surely, 2^85585500000 is an apocalyptic number.

85585500000 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 85585500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214984748160).

85585500000 is an abundant number, since it is smaller than the sum of its proper divisors (344383996320).

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

85585500000 is a wasteful number, since it uses less digits than its factorization.

85585500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

It can be divided in two parts, 85585 and 500000, that added together give a palindrome (585585).

The spelling of 85585500000 in words is "eighty-five billion, five hundred eighty-five million, five hundred thousand".