21282107752752 has 240 divisors, whose sum is σ = 69797823581952. Its totient is φ = 5525535536640.

The previous prime is 21282107752709. The next prime is 21282107752753. The reversal of 21282107752752 is 25725770128212.

It is a super-3 number, since 3×21282107752752³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21282107752695 and 21282107752704.

It is not an unprimeable number, because it can be changed into a prime (21282107752753) 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 47 ways as a sum of consecutive naturals, for example, 62881293 + ... + 63218835.

Almost surely, 2^{21282107752752} is an apocalyptic number.

21282107752752 is a gapful number since it is divisible by the number (22) 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 21282107752752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34898911790976).

21282107752752 is an abundant number, since it is smaller than the sum of its proper divisors (48515715829200).

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

21282107752752 is a wasteful number, since it uses less digits than its factorization.

21282107752752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340016 (or 340003 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 51.

The spelling of 21282107752752 in words is "twenty-one trillion, two hundred eighty-two billion, one hundred seven million, seven hundred fifty-two thousand, seven hundred fifty-two".