85699528544384 has 256 divisors, whose sum is σ = 183711597955200. Its totient is φ = 39703554293760.

The previous prime is 85699528544381. The next prime is 85699528544407. The reversal of 85699528544384 is 48344582599658.

It is a junction number, because it is equal to n+sod(n) for n = 85699528544299 and 85699528544308.

It is not an unprimeable number, because it can be changed into a prime (85699528544381) 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 31 ways as a sum of consecutive naturals, for example, 10929664304 + ... + 10929672144.

Almost surely, 2^{85699528544384} 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 85699528544384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91855798977600).

85699528544384 is an abundant number, since it is smaller than the sum of its proper divisors (98012069410816).

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

85699528544384 is a wasteful number, since it uses less digits than its factorization.

85699528544384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8499 counting only the distinct ones).

The product of its digits is 11943936000, while the sum is 80.

The spelling of 85699528544384 in words is "eighty-five trillion, six hundred ninety-nine billion, five hundred twenty-eight million, five hundred forty-four thousand, three hundred eighty-four".