21937805568 has 432 divisors, whose sum is σ = 75205137280. Its totient is φ = 6019743744.

The previous prime is 21937805551. The next prime is 21937805569. The reversal of 21937805568 is 86550873912.

21937805568 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 7 + 80 + 556 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (21937805569) 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 47 ways as a sum of consecutive naturals, for example, 57883203 + ... + 57883581.

Almost surely, 2^21937805568 is an apocalyptic number.

21937805568 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 21937805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37602568640).

21937805568 is an abundant number, since it is smaller than the sum of its proper divisors (53267331712).

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

21937805568 is a wasteful number, since it uses less digits than its factorization.

21937805568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 21937805568 in words is "twenty-one billion, nine hundred thirty-seven million, eight hundred five thousand, five hundred sixty-eight".