21520002244224 has 256 divisors, whose sum is σ = 65545369205760. Its totient is φ = 6192147456000.

The previous prime is 21520002244199. The next prime is 21520002244241. The reversal of 21520002244224 is 42244220002512.

It is a super-2 number, since 2×21520002244224² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21520002244191 and 21520002244200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12501399 + ... + 14118249.

It is an arithmetic number, because the mean of its divisors is an integer number (256036598460).

Almost surely, 2^{21520002244224} is an apocalyptic number.

21520002244224 is a gapful number since it is divisible by the number (24) 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 21520002244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32772684602880).

21520002244224 is an abundant number, since it is smaller than the sum of its proper divisors (44025366961536).

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

21520002244224 is a wasteful number, since it uses less digits than its factorization.

21520002244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617039 (or 1617027 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 21520002244224 its reverse (42244220002512), we get a palindrome (63764222246736).

The spelling of 21520002244224 in words is "twenty-one trillion, five hundred twenty billion, two million, two hundred forty-four thousand, two hundred twenty-four".