21814565760 has 768 divisors, whose sum is σ = 88139016000. Its totient is φ = 5068210176.

The previous prime is 21814565753. The next prime is 21814565761. The reversal of 21814565760 is 6756541812.

21814565760 is a `hidden beast` number, since 2 + 1 + 8 + 14 + 565 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21814565761) 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 95 ways as a sum of consecutive naturals, for example, 81094906 + ... + 81095174.

Almost surely, 2^21814565760 is an apocalyptic number.

21814565760 is a gapful number since it is divisible by the number (20) 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 21814565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44069508000).

21814565760 is an abundant number, since it is smaller than the sum of its proper divisors (66324450240).

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

21814565760 is a wasteful number, since it uses less digits than its factorization.

21814565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 21814565760 in words is "twenty-one billion, eight hundred fourteen million, five hundred sixty-five thousand, seven hundred sixty".