21242175760 has 40 divisors (see below), whose sum is σ = 53187142680. Its totient is φ = 7843264512.

The previous prime is 21242175737. The next prime is 21242175761. The reversal of 21242175760 is 6757124212.

It can be written as a sum of positive squares in 4 ways, for example, as 70761744 + 21171414016 = 8412^2 + 145504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (21242175761) 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 7 ways as a sum of consecutive naturals, for example, 10211545 + ... + 10213624.

It is an arithmetic number, because the mean of its divisors is an integer number (1329678567).

Almost surely, 2^21242175760 is an apocalyptic number.

21242175760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21242175760 is an abundant number, since it is smaller than the sum of its proper divisors (31944966920).

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

21242175760 is a wasteful number, since it uses less digits than its factorization.

21242175760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425195 (or 20425189 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

Adding to 21242175760 its reverse (6757124212), we get a palindrome (27999299972).

The spelling of 21242175760 in words is "twenty-one billion, two hundred forty-two million, one hundred seventy-five thousand, seven hundred sixty".