9985084301727 has 32 divisors (see below), whose sum is σ = 15100288047360. Its totient is φ = 6519464724960.

The previous prime is 9985084301677. The next prime is 9985084301747. The reversal of 9985084301727 is 7271034805899.

9985084301727 is a `hidden beast` number, since 9 + 98 + 508 + 4 + 3 + 0 + 17 + 27 = 666.

9985084301727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9985084301727 - 2¹¹ = 9985084299679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985084301747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15639849 + ... + 16265762.

It is an arithmetic number, because the mean of its divisors is an integer number (471884001480).

Almost surely, 2^{9985084301727} is an apocalyptic number.

9985084301727 is a deficient number, since it is larger than the sum of its proper divisors (5115203745633).

9985084301727 is a wasteful number, since it uses less digits than its factorization.

9985084301727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31905860 (or 31905854 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 9985084301727 in words is "nine trillion, nine hundred eighty-five billion, eighty-four million, three hundred one thousand, seven hundred twenty-seven".