9900922889520 has 1280 divisors, whose sum is σ = 39539509309440. Its totient is φ = 2286562037760.

The previous prime is 9900922889519. The next prime is 9900922889537. The reversal of 9900922889520 is 259882290099.

9900922889520 is a `hidden beast` number, since 9 + 9 + 0 + 0 + 9 + 2 + 28 + 89 + 520 = 666.

It is a super-2 number, since 2×9900922889520² (a number of 27 digits) contains 22 as substring.

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, 2772589335 + ... + 2772592905.

It is an arithmetic number, because the mean of its divisors is an integer number (30890241648).

Almost surely, 2^{9900922889520} is an apocalyptic number.

9900922889520 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 9900922889520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19769754654720).

9900922889520 is an abundant number, since it is smaller than the sum of its proper divisors (29638586419920).

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

9900922889520 is a wasteful number, since it uses less digits than its factorization.

9900922889520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 9900922889520 in words is "nine trillion, nine hundred billion, nine hundred twenty-two million, eight hundred eighty-nine thousand, five hundred twenty".