9985876992 has 704 divisors, whose sum is σ = 37599296000. Its totient is φ = 2633637888.

The previous prime is 9985876973. The next prime is 9985877017. The reversal of 9985876992 is 2996785899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9985876992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768144378 + ... + 768144390.

Almost surely, 2^9985876992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985876992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799648000).

9985876992 is an abundant number, since it is smaller than the sum of its proper divisors (27613419008).

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

9985876992 is an frugal number, since it uses more digits than its factorization.

9985876992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 25 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The square root of 9985876992 is about 99929.3600099590. The cubic root of 9985876992 is about 2153.4199755758.

The spelling of 9985876992 in words is "nine billion, nine hundred eighty-five million, eight hundred seventy-six thousand, nine hundred ninety-two".