21164065104 has 240 divisors, whose sum is σ = 69464304000. Its totient is φ = 5502551040.

The previous prime is 21164065103. The next prime is 21164065127. The reversal of 21164065104 is 40156046112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21164065103) 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, 2166022 + ... + 2175770.

It is an arithmetic number, because the mean of its divisors is an integer number (289434600).

Almost surely, 2^21164065104 is an apocalyptic number.

21164065104 is a gapful number since it is divisible by the number (24) 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 21164065104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732152000).

21164065104 is an abundant number, since it is smaller than the sum of its proper divisors (48300238896).

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

21164065104 is a wasteful number, since it uses less digits than its factorization.

21164065104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 21164065104 in words is "twenty-one billion, one hundred sixty-four million, sixty-five thousand, one hundred four".