20928380116608 has 256 divisors, whose sum is σ = 62847932400000. Its totient is φ = 6940696605696.

The previous prime is 20928380116583. The next prime is 20928380116687. The reversal of 20928380116608 is 80661108382902.

20928380116608 is a `hidden beast` number, since 2 + 0 + 9 + 28 + 3 + 8 + 0 + 1 + 1 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54957643 + ... + 55337141.

Almost surely, 2^{20928380116608} 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 20928380116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31423966200000).

20928380116608 is an abundant number, since it is smaller than the sum of its proper divisors (41919552283392).

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

20928380116608 is an frugal number, since it uses more digits than its factorization.

20928380116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379731 (or 379701 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 20928380116608 in words is "twenty trillion, nine hundred twenty-eight billion, three hundred eighty million, one hundred sixteen thousand, six hundred eight".