21120306859680 has 384 divisors, whose sum is σ = 78892522684416. Its totient is φ = 4647562444800.

The previous prime is 21120306859669. The next prime is 21120306859793. The reversal of 21120306859680 is 8695860302112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19577575 + ... + 20628185.

It is an arithmetic number, because the mean of its divisors is an integer number (205449277824).

Almost surely, 2^{21120306859680} is an apocalyptic number.

21120306859680 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 21120306859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39446261342208).

21120306859680 is an abundant number, since it is smaller than the sum of its proper divisors (57772215824736).

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

21120306859680 is a wasteful number, since it uses less digits than its factorization.

21120306859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050860 (or 1050852 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 21120306859680 in words is "twenty-one trillion, one hundred twenty billion, three hundred six million, eight hundred fifty-nine thousand, six hundred eighty".