21107064006 has 96 divisors (see below), whose sum is σ = 53211045888. Its totient is φ = 5922408960.

The previous prime is 21107063981. The next prime is 21107064007. The reversal of 21107064006 is 60046070112.

21107064006 is a `hidden beast` number, since 2 + 1 + 10 + 7 + 0 + 640 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21107064007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594491 + ... + 1607673.

It is an arithmetic number, because the mean of its divisors is an integer number (554281728).

Almost surely, 2^21107064006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21107064006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605522944).

21107064006 is an abundant number, since it is smaller than the sum of its proper divisors (32103981882).

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

21107064006 is a wasteful number, since it uses less digits than its factorization.

21107064006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426 (or 13423 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 21107064006 in words is "twenty-one billion, one hundred seven million, sixty-four thousand, six".