85355246592 has 396 divisors, whose sum is σ = 312781862016. Its totient is φ = 22168903680.

The previous prime is 85355246591. The next prime is 85355246621. The reversal of 85355246592 is 29564255358.

85355246592 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 5 + 2 + 46 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×85355246592² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85355246591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4958833 + ... + 4976015.

Almost surely, 2^85355246592 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 85355246592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156390931008).

85355246592 is an abundant number, since it is smaller than the sum of its proper divisors (227426615424).

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

85355246592 is a wasteful number, since it uses less digits than its factorization.

85355246592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17234 (or 17206 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 85355246592 in words is "eighty-five billion, three hundred fifty-five million, two hundred forty-six thousand, five hundred ninety-two".