85009566096 has 675 divisors, whose sum is σ = 313443841491. Its totient is φ = 22168194048.

The previous prime is 85009566073. The next prime is 85009566101. The reversal of 85009566096 is 69066590058.

The square root of 85009566096 is 291564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37164128400 + 47845437696 = 192780^2 + 218736^2 .

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 134 ways as a sum of consecutive naturals, for example, 955163620 + ... + 955163708.

Almost surely, 2^85009566096 is an apocalyptic number.

85009566096 is the 291564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85009566096

85009566096 is an abundant number, since it is smaller than the sum of its proper divisors (228434275395).

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

85009566096 is a wasteful number, since it uses less digits than its factorization.

85009566096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 85009566096 in words is "eighty-five billion, nine million, five hundred sixty-six thousand, ninety-six".