20806352558928 has 480 divisors, whose sum is σ = 63463911264000. Its totient is φ = 6358499896320.

The previous prime is 20806352558861. The next prime is 20806352559049. The reversal of 20806352558928 is 82985525360802.

20806352558928 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 6 + 3 + 5 + 25 + 589 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7272404218 + ... + 7272407078.

It is an arithmetic number, because the mean of its divisors is an integer number (132216481800).

Almost surely, 2^{20806352558928} 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 20806352558928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31731955632000).

20806352558928 is an abundant number, since it is smaller than the sum of its proper divisors (42657558705072).

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

20806352558928 is a wasteful number, since it uses less digits than its factorization.

20806352558928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 20806352558928 in words is "twenty trillion, eight hundred six billion, three hundred fifty-two million, five hundred fifty-eight thousand, nine hundred twenty-eight".