21826563264 has 392 divisors, whose sum is σ = 71959622400. Its totient is φ = 6510067200.

The previous prime is 21826563263. The next prime is 21826563289. The reversal of 21826563264 is 46236562812.

21826563264 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 6 + 5 + 632 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (21826563263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36438037 + ... + 36438635.

Almost surely, 2^21826563264 is an apocalyptic number.

21826563264 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 21826563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979811200).

21826563264 is an abundant number, since it is smaller than the sum of its proper divisors (50133059136).

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

21826563264 is an equidigital number, since it uses as much as digits as its factorization.

21826563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 686 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 21826563264 in words is "twenty-one billion, eight hundred twenty-six million, five hundred sixty-three thousand, two hundred sixty-four".