85569644160 has 2560 divisors, whose sum is σ = 438909166080. Its totient is φ = 15288238080.

The previous prime is 85569644159. The next prime is 85569644179. The reversal of 85569644160 is 6144696558.

85569644160 is a `hidden beast` number, since 8 + 5 + 56 + 96 + 441 + 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 = 85569644097 and 85569644106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 882161232 + ... + 882161328.

It is an arithmetic number, because the mean of its divisors is an integer number (171448893).

Almost surely, 2^85569644160 is an apocalyptic number.

85569644160 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 85569644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219454583040).

85569644160 is an abundant number, since it is smaller than the sum of its proper divisors (353339521920).

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

85569644160 is a wasteful number, since it uses less digits than its factorization.

85569644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 85569644160 in words is "eighty-five billion, five hundred sixty-nine million, six hundred forty-four thousand, one hundred sixty".