21212325080568 has 192 divisors, whose sum is σ = 58799250432000. Its totient is φ = 6905387414016.

The previous prime is 21212325080567. The next prime is 21212325080669. The reversal of 21212325080568 is 86508052321212.

21212325080568 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 3 + 2 + 5 + 0 + 80 + 568 = 666.

It is a super-3 number, since 3×21212325080568³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212325080567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3632866593 + ... + 3632872431.

It is an arithmetic number, because the mean of its divisors is an integer number (306246096000).

Almost surely, 2^{21212325080568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212325080568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29399625216000).

21212325080568 is an abundant number, since it is smaller than the sum of its proper divisors (37586925351432).

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

21212325080568 is a wasteful number, since it uses less digits than its factorization.

21212325080568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 21212325080568 in words is "twenty-one trillion, two hundred twelve billion, three hundred twenty-five million, eighty thousand, five hundred sixty-eight".