20605742141166 has 512 divisors, whose sum is σ = 59117951692800. Its totient is φ = 5238446846976.

The previous prime is 20605742141123. The next prime is 20605742141209. The reversal of 20605742141166 is 66114124750602.

20605742141166 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 574 + 2 + 1 + 4 + 11 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (20605742141123) and next prime (20605742141209).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9892337961 + ... + 9892340043.

It is an arithmetic number, because the mean of its divisors is an integer number (115464749400).

Almost surely, 2^{20605742141166} is an apocalyptic number.

20605742141166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20605742141166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29558975846400).

20605742141166 is an abundant number, since it is smaller than the sum of its proper divisors (38512209551634).

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

20605742141166 is a wasteful number, since it uses less digits than its factorization.

20605742141166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 20605742141166 its reverse (66114124750602), we get a palindrome (86719866891768).

The spelling of 20605742141166 in words is "twenty trillion, six hundred five billion, seven hundred forty-two million, one hundred forty-one thousand, one hundred sixty-six".