85303008000 has 1728 divisors, whose sum is σ = 393962849280. Its totient is φ = 17252352000.

The previous prime is 85303007989. The next prime is 85303008041. The reversal of 85303008000 is 80030358.

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 191 ways as a sum of consecutive naturals, for example, 651167935 + ... + 651168065.

It is an arithmetic number, because the mean of its divisors is an integer number (227987760).

Almost surely, 2^85303008000 is an apocalyptic number.

85303008000 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 85303008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196981424640).

85303008000 is an abundant number, since it is smaller than the sum of its proper divisors (308659841280).

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

85303008000 is a wasteful number, since it uses less digits than its factorization.

85303008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 85303008000 its reverse (80030358), we get a palindrome (85383038358).

The spelling of 85303008000 in words is "eighty-five billion, three hundred three million, eight thousand".