20790383457600 has 504 divisors, whose sum is σ = 80938614027960. Its totient is φ = 5038046576640.

The previous prime is 20790383457593. The next prime is 20790383457601. The reversal of 20790383457600 is 675438309702.

20790383457600 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 0 + 38 + 34 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4149662333184 + 16640721124416 = 2037072^2 + 4079304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20790383457601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5634924 + ... + 8563476.

Almost surely, 2^{20790383457600} is an apocalyptic number.

20790383457600 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 20790383457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40469307013980).

20790383457600 is an abundant number, since it is smaller than the sum of its proper divisors (60148230570360).

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

20790383457600 is a wasteful number, since it uses less digits than its factorization.

20790383457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928627 (or 2928609 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 20790383457600 in words is "twenty trillion, seven hundred ninety billion, three hundred eighty-three million, four hundred fifty-seven thousand, six hundred".