20220381941760 has 4992 divisors, whose sum is σ = 100851177692160. Its totient is φ = 3783838924800.

The previous prime is 20220381941741. The next prime is 20220381941761. The reversal of 20220381941760 is 6714918302202.

20220381941760 is a `hidden beast` number, since 2 + 0 + 220 + 3 + 8 + 1 + 9 + 417 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220381941761) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 493180047340 + ... + 493180047380.

Almost surely, 2^{20220381941760} is an apocalyptic number.

20220381941760 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 20220381941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50425588846080).

20220381941760 is an abundant number, since it is smaller than the sum of its proper divisors (80630795750400).

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

20220381941760 is an equidigital number, since it uses as much as digits as its factorization.

20220381941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20220381941760 in words is "twenty trillion, two hundred twenty billion, three hundred eighty-one million, nine hundred forty-one thousand, seven hundred sixty".