9985876992000 has 3584 divisors, whose sum is σ = 46943979264000. Its totient is φ = 2106910310400.

The previous prime is 9985876991977. The next prime is 9985876992041. The reversal of 9985876992000 is 2996785899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3584).

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 9985876992000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 768144383994 + ... + 768144384006.

It is an arithmetic number, because the mean of its divisors is an integer number (13098208500).

Almost surely, 2^{9985876992000} is an apocalyptic number.

9985876992000 is a gapful number since it is divisible by the number (90) 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 9985876992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23471989632000).

9985876992000 is an abundant number, since it is smaller than the sum of its proper divisors (36958102272000).

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

9985876992000 is an frugal number, since it uses more digits than its factorization.

9985876992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

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

The spelling of 9985876992000 in words is "nine trillion, nine hundred eighty-five billion, eight hundred seventy-six million, nine hundred ninety-two thousand".