85006905984 has 576 divisors, whose sum is σ = 334332442080. Its totient is φ = 20379340800.

The previous prime is 85006905943. The next prime is 85006906021. The reversal of 85006905984 is 48950960058.

It is a happy number.

85006905984 is a `hidden beast` number, since 8 + 500 + 6 + 9 + 0 + 59 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 85006905984.

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 71 ways as a sum of consecutive naturals, for example, 8066799 + ... + 8077329.

Almost surely, 2^85006905984 is an apocalyptic number.

85006905984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85006905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167166221040).

85006905984 is an abundant number, since it is smaller than the sum of its proper divisors (249325536096).

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

85006905984 is a wasteful number, since it uses less digits than its factorization.

85006905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10589 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 85006905984 in words is "eighty-five billion, six million, nine hundred five thousand, nine hundred eighty-four".