85261664016 has 75 divisors (see below), whose sum is σ = 246802420183. Its totient is φ = 28417050720.

The previous prime is 85261663969. The next prime is 85261664039. The reversal of 85261664016 is 61046616258.

The square root of 85261664016 is 291996.

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

85261664016 is a `hidden beast` number, since 85 + 2 + 6 + 166 + 401 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10507801 + ... + 10515911.

Almost surely, 2^85261664016 is an apocalyptic number.

85261664016 is the 291996-th square number.

It is an amenable number.

85261664016 is an abundant number, since it is smaller than the sum of its proper divisors (161540756167).

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

85261664016 is an frugal number, since it uses more digits than its factorization.

85261664016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16242 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85261664016 in words is "eighty-five billion, two hundred sixty-one million, six hundred sixty-four thousand, sixteen".