2009558998800 has 180 divisors, whose sum is σ = 6986625147684. Its totient is φ = 534891340800.

The previous prime is 2009558998771. The next prime is 2009558998847. The reversal of 2009558998800 is 88998559002.

It can be written as a sum of positive squares in 6 ways, for example, as 12243865104 + 1997315133696 = 110652^2 + 1413264^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1431694 + ... + 2463506.

Almost surely, 2^{2009558998800} is an apocalyptic number.

2009558998800 is a gapful number since it is divisible by the number (20) 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 2009558998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493312573842).

2009558998800 is an abundant number, since it is smaller than the sum of its proper divisors (4977066148884).

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

2009558998800 is a wasteful number, since it uses less digits than its factorization.

2009558998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032378 (or 1032364 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 2009558998800 in words is "two trillion, nine billion, five hundred fifty-eight million, nine hundred ninety-eight thousand, eight hundred".