20206648800000 has 3240 divisors, whose sum is σ = 87193519226352. Its totient is φ = 4624957440000.

The previous prime is 20206648799993. The next prime is 20206648800007. The reversal of 20206648800000 is 884660202.

20206648800000 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 6 + 648 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20206648799993) and next prime (20206648800007).

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20206648800007) 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 359 ways as a sum of consecutive naturals, for example, 243453599959 + ... + 243453600041.

Almost surely, 2^{20206648800000} is an apocalyptic number.

20206648800000 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 20206648800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43596759613176).

20206648800000 is an abundant number, since it is smaller than the sum of its proper divisors (66986870426352).

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

20206648800000 is an frugal number, since it uses more digits than its factorization.

20206648800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20206648800000 in words is "twenty trillion, two hundred six billion, six hundred forty-eight million, eight hundred thousand".