85751328768 has 416 divisors, whose sum is σ = 271065745920. Its totient is φ = 23604756480.

The previous prime is 85751328739. The next prime is 85751328769. The reversal of 85751328768 is 86782315758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85751328769) 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 31 ways as a sum of consecutive naturals, for example, 309571446 + ... + 309571722.

Almost surely, 2^85751328768 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 85751328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135532872960).

85751328768 is an abundant number, since it is smaller than the sum of its proper divisors (185314417152).

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

85751328768 is a wasteful number, since it uses less digits than its factorization.

85751328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 60.

The spelling of 85751328768 in words is "eighty-five billion, seven hundred fifty-one million, three hundred twenty-eight thousand, seven hundred sixty-eight".