20011771303128 has 192 divisors, whose sum is σ = 59228618791680. Its totient is φ = 6053625849600.

The previous prime is 20011771303061. The next prime is 20011771303177. The reversal of 20011771303128 is 82130317711002.

It is a happy number.

20011771303128 is a `hidden beast` number, since 200 + 1 + 1 + 7 + 7 + 130 + 312 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20011771303092 and 20011771303101.

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 47 ways as a sum of consecutive naturals, for example, 1117280493 + ... + 1117298403.

It is an arithmetic number, because the mean of its divisors is an integer number (308482389540).

Almost surely, 2^{20011771303128} 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 20011771303128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29614309395840).

20011771303128 is an abundant number, since it is smaller than the sum of its proper divisors (39216847488552).

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

20011771303128 is a wasteful number, since it uses less digits than its factorization.

20011771303128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20310 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 20011771303128 in words is "twenty trillion, eleven billion, seven hundred seventy-one million, three hundred three thousand, one hundred twenty-eight".