85185004320 has 1440 divisors, whose sum is σ = 361586332800. Its totient is φ = 18787811328.

The previous prime is 85185004283. The next prime is 85185004327. The reversal of 85185004320 is 2340058158.

It is a happy number.

85185004320 is a `hidden beast` number, since 85 + 18 + 500 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (85185004327) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 957134836 + ... + 957134924.

It is an arithmetic number, because the mean of its divisors is an integer number (251101620).

Almost surely, 2^85185004320 is an apocalyptic number.

85185004320 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 85185004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180793166400).

85185004320 is an abundant number, since it is smaller than the sum of its proper divisors (276401328480).

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

85185004320 is a wasteful number, since it uses less digits than its factorization.

85185004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 85185004320 in words is "eighty-five billion, one hundred eighty-five million, four thousand, three hundred twenty".