21608480482128 has 240 divisors, whose sum is σ = 66601112827392. Its totient is φ = 6510366720000.

The previous prime is 21608480482109. The next prime is 21608480482129. The reversal of 21608480482128 is 82128408480612.

It is a happy number.

21608480482128 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 84 + 80 + 482 + 1 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21608480482129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8854528 + ... + 11028128.

Almost surely, 2^{21608480482128} 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 21608480482128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300556413696).

21608480482128 is an abundant number, since it is smaller than the sum of its proper divisors (44992632345264).

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

21608480482128 is a wasteful number, since it uses less digits than its factorization.

21608480482128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173794 (or 2173785 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 21608480482128 in words is "twenty-one trillion, six hundred eight billion, four hundred eighty million, four hundred eighty-two thousand, one hundred twenty-eight".