85736594826432 has 448 divisors, whose sum is σ = 277455445900800. Its totient is φ = 25960198809600.

The previous prime is 85736594826373. The next prime is 85736594826439. The reversal of 85736594826432 is 23462849563758.

85736594826432 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 6 + 59 + 482 + 64 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85736594826439) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3038243619 + ... + 3038271837.

Almost surely, 2^{85736594826432} 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 85736594826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138727722950400).

85736594826432 is an abundant number, since it is smaller than the sum of its proper divisors (191718851074368).

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

85736594826432 is a wasteful number, since it uses less digits than its factorization.

85736594826432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29594 (or 29556 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 85736594826432 in words is "eighty-five trillion, seven hundred thirty-six billion, five hundred ninety-four million, eight hundred twenty-six thousand, four hundred thirty-two".