20486108316800 has 1152 divisors, whose sum is σ = 65893838774400. Its totient is φ = 6243626188800.

The previous prime is 20486108316787. The next prime is 20486108316827. The reversal of 20486108316800 is 861380168402.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3631641980 + ... + 3631647620.

It is an arithmetic number, because the mean of its divisors is an integer number (57199512825).

Almost surely, 2^{20486108316800} is an apocalyptic number.

20486108316800 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 20486108316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32946919387200).

20486108316800 is an abundant number, since it is smaller than the sum of its proper divisors (45407730457600).

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

20486108316800 is a wasteful number, since it uses less digits than its factorization.

20486108316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 20486108316800 in words is "twenty trillion, four hundred eighty-six billion, one hundred eight million, three hundred sixteen thousand, eight hundred".