2006089885800 has 3840 divisors, whose sum is σ = 10453730918400. Its totient is φ = 342193766400.

The previous prime is 2006089885777. The next prime is 2006089885859. The reversal of 2006089885800 is 85889806002.

2006089885800 is a `hidden beast` number, since 20 + 0 + 608 + 9 + 8 + 8 + 5 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 5237832409 + ... + 5237832791.

It is an arithmetic number, because the mean of its divisors is an integer number (2722325760).

Almost surely, 2^{2006089885800} is an apocalyptic number.

2006089885800 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 2006089885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226865459200).

2006089885800 is an abundant number, since it is smaller than the sum of its proper divisors (8447641032600).

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

2006089885800 is a wasteful number, since it uses less digits than its factorization.

2006089885800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 2006089885800 in words is "two trillion, six billion, eighty-nine million, eight hundred eighty-five thousand, eight hundred".