85871324059200 has 1008 divisors, whose sum is σ = 318862399250304. Its totient is φ = 22729575628800.

The previous prime is 85871324059187. The next prime is 85871324059229. The reversal of 85871324059200 is 295042317858.

85871324059200 is a `hidden beast` number, since 8 + 5 + 8 + 7 + 1 + 3 + 2 + 40 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31675145845 + ... + 31675148555.

It is an arithmetic number, because the mean of its divisors is an integer number (316331745288).

Almost surely, 2^{85871324059200} is an apocalyptic number.

85871324059200 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 85871324059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159431199625152).

85871324059200 is an abundant number, since it is smaller than the sum of its proper divisors (232991075191104).

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

85871324059200 is a wasteful number, since it uses less digits than its factorization.

85871324059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 85871324059200 in words is "eighty-five trillion, eight hundred seventy-one billion, three hundred twenty-four million, fifty-nine thousand, two hundred".