85344912576 has 1344 divisors, whose sum is σ = 346510295040. Its totient is φ = 20323353600.

The previous prime is 85344912529. The next prime is 85344912593. The reversal of 85344912576 is 67521944358.

It is a happy number.

85344912576 is a `hidden beast` number, since 8 + 5 + 3 + 449 + 125 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2753061681 + ... + 2753061711.

It is an arithmetic number, because the mean of its divisors is an integer number (257820160).

Almost surely, 2^85344912576 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 85344912576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173255147520).

85344912576 is an abundant number, since it is smaller than the sum of its proper divisors (261165382464).

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

85344912576 is a wasteful number, since it uses less digits than its factorization.

85344912576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 85344912576 in words is "eighty-five billion, three hundred forty-four million, nine hundred twelve thousand, five hundred seventy-six".