21805964264 has 128 divisors (see below), whose sum is σ = 49532186880. Its totient is φ = 8805888000.

The previous prime is 21805964261. The next prime is 21805964291. The reversal of 21805964264 is 46246950812.

It is not an unprimeable number, because it can be changed into a prime (21805964261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7783664 + ... + 7786464.

It is an arithmetic number, because the mean of its divisors is an integer number (386970210).

Almost surely, 2^21805964264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21805964264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766093440).

21805964264 is an abundant number, since it is smaller than the sum of its proper divisors (27726222616).

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

21805964264 is a wasteful number, since it uses less digits than its factorization.

21805964264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 21805964264 in words is "twenty-one billion, eight hundred five million, nine hundred sixty-four thousand, two hundred sixty-four".