21548855638080 has 168 divisors, whose sum is σ = 76674915509400. Its totient is φ = 5548211085312.

The previous prime is 21548855638049. The next prime is 21548855638091. The reversal of 21548855638080 is 8083655884512.

It is a happy number.

21548855638080 is a `hidden beast` number, since 2 + 1 + 5 + 48 + 8 + 556 + 38 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6346529869824 + 15202325768256 = 2519232^2 + 3899016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21548855637999 and 21548855638017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128920645 + ... + 129087684.

Almost surely, 2^{21548855638080} is an apocalyptic number.

21548855638080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21548855638080 is an abundant number, since it is smaller than the sum of its proper divisors (55126059871320).

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

21548855638080 is a wasteful number, since it uses less digits than its factorization.

21548855638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258008381 (or 258008368 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 21548855638080 in words is "twenty-one trillion, five hundred forty-eight billion, eight hundred fifty-five million, six hundred thirty-eight thousand, eighty".