21967802208 has 384 divisors, whose sum is σ = 72394560000. Its totient is φ = 6422353920.

The previous prime is 21967802201. The next prime is 21967802221. The reversal of 21967802208 is 80220876912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21967802201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62944818 + ... + 62945166.

It is an arithmetic number, because the mean of its divisors is an integer number (188527500).

Almost surely, 2^21967802208 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 21967802208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280000).

21967802208 is an abundant number, since it is smaller than the sum of its proper divisors (50426757792).

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

21967802208 is a wasteful number, since it uses less digits than its factorization.

21967802208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21967802208 in words is "twenty-one billion, nine hundred sixty-seven million, eight hundred two thousand, two hundred eight".