20289684064608 has 1152 divisors, whose sum is σ = 71682779750400. Its totient is φ = 5431878144000.

The previous prime is 20289684064567. The next prime is 20289684064631. The reversal of 20289684064608 is 80646048698202.

20289684064608 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 96 + 84 + 0 + 6 + 460 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 37504036818 + ... + 37504037358.

It is an arithmetic number, because the mean of its divisors is an integer number (62224635200).

Almost surely, 2^{20289684064608} is an apocalyptic number.

20289684064608 is a gapful number since it is divisible by the number (28) 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 20289684064608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35841389875200).

20289684064608 is an abundant number, since it is smaller than the sum of its proper divisors (51393095685792).

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

20289684064608 is a wasteful number, since it uses less digits than its factorization.

20289684064608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 20289684064608 in words is "twenty trillion, two hundred eighty-nine billion, six hundred eighty-four million, sixty-four thousand, six hundred eight".