21826603008 has 768 divisors, whose sum is σ = 81517363200. Its totient is φ = 5626920960.

The previous prime is 21826603003. The next prime is 21826603037. The reversal of 21826603008 is 80030662812.

21826603008 is a `hidden beast` number, since 21 + 8 + 26 + 603 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21826603003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203986891 + ... + 203986997.

It is an arithmetic number, because the mean of its divisors is an integer number (106142400).

Almost surely, 2^21826603008 is an apocalyptic number.

21826603008 is a gapful number since it is divisible by the number (28) 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 21826603008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40758681600).

21826603008 is an abundant number, since it is smaller than the sum of its proper divisors (59690760192).

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

21826603008 is a wasteful number, since it uses less digits than its factorization.

21826603008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21826603008 in words is "twenty-one billion, eight hundred twenty-six million, six hundred three thousand, eight".