85336689984 has 448 divisors, whose sum is σ = 297543321600. Its totient is φ = 20955635712.

The previous prime is 85336689937. The next prime is 85336689989. The reversal of 85336689984 is 48998663358.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×85336689984³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85336689989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19583934 + ... + 19588290.

It is an arithmetic number, because the mean of its divisors is an integer number (664159200).

Almost surely, 2^85336689984 is an apocalyptic number.

85336689984 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 85336689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148771660800).

85336689984 is an abundant number, since it is smaller than the sum of its proper divisors (212206631616).

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

85336689984 is a wasteful number, since it uses less digits than its factorization.

85336689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4460 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 69.

The spelling of 85336689984 in words is "eighty-five billion, three hundred thirty-six million, six hundred eighty-nine thousand, nine hundred eighty-four".