85805322572160 has 512 divisors, whose sum is σ = 316575046656000. Its totient is φ = 21940144496640.

The previous prime is 85805322572149. The next prime is 85805322572209. The reversal of 85805322572160 is 6127522350858.

It is a happy number.

85805322572160 is a `hidden beast` number, since 8 + 5 + 8 + 0 + 5 + 3 + 2 + 2 + 572 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85805322572097 and 85805322572106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57654349 + ... + 59123891.

It is an arithmetic number, because the mean of its divisors is an integer number (618310638000).

Almost surely, 2^{85805322572160} is an apocalyptic number.

85805322572160 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 85805322572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158287523328000).

85805322572160 is an abundant number, since it is smaller than the sum of its proper divisors (230769724083840).

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

85805322572160 is a wasteful number, since it uses less digits than its factorization.

85805322572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469711 (or 1469693 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 85805322572160 in words is "eighty-five trillion, eight hundred five billion, three hundred twenty-two million, five hundred seventy-two thousand, one hundred sixty".