20001000006 has 112 divisors (see below), whose sum is σ = 49238775600. Its totient is φ = 6052916160.

The previous prime is 20001000001. The next prime is 20001000013. The reversal of 20001000006 is 60000010002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1147545 + ... + 1164843.

It is an arithmetic number, because the mean of its divisors is an integer number (439631925).

Almost surely, 2^20001000006 is an apocalyptic number.

20001000006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24619387800).

20001000006 is an abundant number, since it is smaller than the sum of its proper divisors (29237775594).

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

20001000006 is a wasteful number, since it uses less digits than its factorization.

20001000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17393 (or 17378 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20001000006 its reverse (60000010002), we get a palindrome (80001010008).

The spelling of 20001000006 in words is "twenty billion, one million, six", and thus it is an aban number and an uban number.