20728546375680 has 768 divisors, whose sum is σ = 86565401395200. Its totient is φ = 4638546984960.

The previous prime is 20728546375679. The next prime is 20728546375709. The reversal of 20728546375680 is 8657364582702.

20728546375680 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 8 + 5 + 4 + 63 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39274497 + ... + 39798783.

It is an arithmetic number, because the mean of its divisors is an integer number (112715366400).

Almost surely, 2^{20728546375680} is an apocalyptic number.

20728546375680 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 20728546375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43282700697600).

20728546375680 is an abundant number, since it is smaller than the sum of its proper divisors (65836855019520).

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

20728546375680 is a wasteful number, since it uses less digits than its factorization.

20728546375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524347 (or 524321 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 20728546375680 in words is "twenty trillion, seven hundred twenty-eight billion, five hundred forty-six million, three hundred seventy-five thousand, six hundred eighty".