21326586082560 has 1728 divisors, whose sum is σ = 90137597921280. Its totient is φ = 4593549312000.

The previous prime is 21326586082541. The next prime is 21326586082573. The reversal of 21326586082560 is 6528068562312.

21326586082560 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 6 + 5 + 8 + 608 + 25 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21326586082497 and 21326586082506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2738035146 + ... + 2738042934.

It is an arithmetic number, because the mean of its divisors is an integer number (52162961760).

Almost surely, 2^{21326586082560} is an apocalyptic number.

21326586082560 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 21326586082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45068798960640).

21326586082560 is an abundant number, since it is smaller than the sum of its proper divisors (68811011838720).

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

21326586082560 is a wasteful number, since it uses less digits than its factorization.

21326586082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 21326586082560 in words is "twenty-one trillion, three hundred twenty-six billion, five hundred eighty-six million, eighty-two thousand, five hundred sixty".