20753628733800 has 144 divisors (see below), whose sum is σ = 70416135748140. Its totient is φ = 5477246300160.

The previous prime is 20753628733787. The next prime is 20753628733807. The reversal of 20753628733800 is 833782635702.

20753628733800 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 3 + 628 + 7 + 3 + 3 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5078253236004 + 15675375497796 = 2253498^2 + 3959214^2 .

It is not an unprimeable number, because it can be changed into a prime (20753628733807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59257327 + ... + 59606526.

Almost surely, 2^{20753628733800} is an apocalyptic number.

20753628733800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20753628733800 is an abundant number, since it is smaller than the sum of its proper divisors (49662507014340).

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

20753628733800 is a wasteful number, since it uses less digits than its factorization.

20753628733800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118863972 (or 118863960 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 20753628733800 in words is "twenty trillion, seven hundred fifty-three billion, six hundred twenty-eight million, seven hundred thirty-three thousand, eight hundred".