20908060860960 has 4608 divisors, whose sum is σ = 100992968294400. Its totient is φ = 3961743851520.

The previous prime is 20908060860931. The next prime is 20908060860961. The reversal of 20908060860960 is 6906806080902.

20908060860960 is a `hidden beast` number, since 20 + 9 + 0 + 8 + 0 + 6 + 0 + 8 + 609 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20908060860897 and 20908060860906.

It is not an unprimeable number, because it can be changed into a prime (20908060860961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 164630400417 + ... + 164630400543.

It is an arithmetic number, because the mean of its divisors is an integer number (21916876800).

Almost surely, 2^{20908060860960} is an apocalyptic number.

20908060860960 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 20908060860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50496484147200).

20908060860960 is an abundant number, since it is smaller than the sum of its proper divisors (80084907433440).

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

20908060860960 is a wasteful number, since it uses less digits than its factorization.

20908060860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 20908060860960 in words is "twenty trillion, nine hundred eight billion, sixty million, eight hundred sixty thousand, nine hundred sixty".