9985767311 has 32 divisors (see below), whose sum is σ = 11171233920. Its totient is φ = 8866381824.

The previous prime is 9985767307. The next prime is 9985767329. The reversal of 9985767311 is 1137675899.

It is a cyclic number.

It is not a de Polignac number, because 9985767311 - 2² = 9985767307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985767361) 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 31 ways as a sum of consecutive naturals, for example, 24414875 + ... + 24415283.

It is an arithmetic number, because the mean of its divisors is an integer number (349101060).

Almost surely, 2^9985767311 is an apocalyptic number.

9985767311 is a deficient number, since it is larger than the sum of its proper divisors (1185466609).

9985767311 is a wasteful number, since it uses less digits than its factorization.

9985767311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915.

The product of its digits is 2857680, while the sum is 56.

The square root of 9985767311 is about 99928.8112157850. The cubic root of 9985767311 is about 2153.4120914369.

The spelling of 9985767311 in words is "nine billion, nine hundred eighty-five million, seven hundred sixty-seven thousand, three hundred eleven".