9999905580 has 288 divisors, whose sum is σ = 38638978560. Its totient is φ = 2037934080.

The previous prime is 9999905579. The next prime is 9999905593. The reversal of 9999905580 is 855099999.

It is a super-3 number, since 3×9999905580³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394695 + ... + 419265.

It is an arithmetic number, because the mean of its divisors is an integer number (134163120).

Almost surely, 2^9999905580 is an apocalyptic number.

9999905580 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 9999905580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319489280).

9999905580 is an abundant number, since it is smaller than the sum of its proper divisors (28639072980).

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

9999905580 is a wasteful number, since it uses less digits than its factorization.

9999905580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24629 (or 24624 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 63.

The square root of 9999905580 is about 99999.5278988856. The cubic root of 9999905580 is about 2154.4279092864.

The spelling of 9999905580 in words is "nine billion, nine hundred ninety-nine million, nine hundred five thousand, five hundred eighty".