85871552800 has 144 divisors (see below), whose sum is σ = 229654051200. Its totient is φ = 31094604800.

The previous prime is 85871552791. The next prime is 85871552801. The reversal of 85871552800 is 825517858.

It is not an unprimeable number, because it can be changed into a prime (85871552801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2082786 + ... + 2123614.

It is an arithmetic number, because the mean of its divisors is an integer number (1594819800).

Almost surely, 2^85871552800 is an apocalyptic number.

85871552800 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 85871552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114827025600).

85871552800 is an abundant number, since it is smaller than the sum of its proper divisors (143782498400).

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

85871552800 is a wasteful number, since it uses less digits than its factorization.

85871552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41099 (or 41086 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 49.

The spelling of 85871552800 in words is "eighty-five billion, eight hundred seventy-one million, five hundred fifty-two thousand, eight hundred".