9987717312 has 140 divisors (see below), whose sum is σ = 29655359536. Its totient is φ = 3323773440.

The previous prime is 9987717239. The next prime is 9987717319. The reversal of 9987717312 is 2137177899.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9987717319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4265262 + ... + 4267602.

Almost surely, 2^9987717312 is an apocalyptic number.

9987717312 is the 63207-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827679768).

9987717312 is an abundant number, since it is smaller than the sum of its proper divisors (19667642224).

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

9987717312 is a wasteful number, since it uses less digits than its factorization.

9987717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3169 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 9987717312 is about 99938.5676903567. The cubic root of 9987717312 is about 2153.5522536731.

The spelling of 9987717312 in words is "nine billion, nine hundred eighty-seven million, seven hundred seventeen thousand, three hundred twelve".