20350560204000 has 2880 divisors, whose sum is σ = 88023505489920. Its totient is φ = 4585351680000.

The previous prime is 20350560203957. The next prime is 20350560204059. The reversal of 20350560204000 is 40206505302.

20350560204000 is a `hidden beast` number, since 2 + 0 + 3 + 50 + 5 + 602 + 0 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32251283685 + ... + 32251284315.

It is an arithmetic number, because the mean of its divisors is an integer number (30563717184).

Almost surely, 2^{20350560204000} is an apocalyptic number.

20350560204000 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 20350560204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44011752744960).

20350560204000 is an abundant number, since it is smaller than the sum of its proper divisors (67672945285920).

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

20350560204000 is a wasteful number, since it uses less digits than its factorization.

20350560204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20350560204000 its reverse (40206505302), we get a palindrome (20390766709302).

The spelling of 20350560204000 in words is "twenty trillion, three hundred fifty billion, five hundred sixty million, two hundred four thousand".