85265906176 has 320 divisors, whose sum is σ = 200928854016. Its totient is φ = 35765452800.

The previous prime is 85265906123. The next prime is 85265906179. The reversal of 85265906176 is 67160956258.

It is not an unprimeable number, because it can be changed into a prime (85265906179) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671385025 + ... + 671385151.

Almost surely, 2^85265906176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85265906176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100464427008).

85265906176 is an abundant number, since it is smaller than the sum of its proper divisors (115662947840).

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

85265906176 is a wasteful number, since it uses less digits than its factorization.

85265906176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 85265906176 in words is "eighty-five billion, two hundred sixty-five million, nine hundred six thousand, one hundred seventy-six".