20945222199720 has 1152 divisors, whose sum is σ = 88589753965440. Its totient is φ = 4411500226560.

The previous prime is 20945222199709. The next prime is 20945222199761. The reversal of 20945222199720 is 2799122254902.

20945222199720 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 522 + 2 + 1 + 9 + 97 + 20 = 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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3981221890 + ... + 3981227150.

It is an arithmetic number, because the mean of its divisors is an integer number (76900828095).

Almost surely, 2^{20945222199720} is an apocalyptic number.

20945222199720 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 20945222199720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44294876982720).

20945222199720 is an abundant number, since it is smaller than the sum of its proper divisors (67644531765720).

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

20945222199720 is a wasteful number, since it uses less digits than its factorization.

20945222199720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20945222199720 in words is "twenty trillion, nine hundred forty-five billion, two hundred twenty-two million, one hundred ninety-nine thousand, seven hundred twenty".