21164006120 has 48 divisors (see below), whose sum is σ = 48412791180. Its totient is φ = 8326763520.

The previous prime is 21164006113. The next prime is 21164006137. The reversal of 21164006120 is 2160046112.

It can be written as a sum of positive squares in 6 ways, for example, as 4545186724 + 16618819396 = 67418^2 + 128914^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77744 + ... + 219936.

Almost surely, 2^21164006120 is an apocalyptic number.

21164006120 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 21164006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24206395590).

21164006120 is an abundant number, since it is smaller than the sum of its proper divisors (27248785060).

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

21164006120 is a wasteful number, since it uses less digits than its factorization.

21164006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142326 (or 142261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 21164006120 in words is "twenty-one billion, one hundred sixty-four million, six thousand, one hundred twenty".