9990889009920 has 2592 divisors, whose sum is σ = 46015365876480. Its totient is φ = 1978154680320.

The previous prime is 9990889009903. The next prime is 9990889009979. The reversal of 9990889009920 is 299009880999.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18264879087 + ... + 18264879633.

Almost surely, 2^{9990889009920} is an apocalyptic number.

9990889009920 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 9990889009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23007682938240).

9990889009920 is an abundant number, since it is smaller than the sum of its proper divisors (36024476866560).

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

9990889009920 is a wasteful number, since it uses less digits than its factorization.

9990889009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 72.

The spelling of 9990889009920 in words is "nine trillion, nine hundred ninety billion, eight hundred eighty-nine million, nine thousand, nine hundred twenty".