19800108081936 has 640 divisors, whose sum is σ = 73149558128640. Its totient is φ = 4984069128192.

The previous prime is 19800108081931. The next prime is 19800108081997. The reversal of 19800108081936 is 63918080100891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19800108081931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 418609840 + ... + 418657136.

It is an arithmetic number, because the mean of its divisors is an integer number (114296184576).

Almost surely, 2^{19800108081936} is an apocalyptic number.

19800108081936 is a gapful number since it is divisible by the number (16) 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 19800108081936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36574779064320).

19800108081936 is an abundant number, since it is smaller than the sum of its proper divisors (53349450046704).

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

19800108081936 is a wasteful number, since it uses less digits than its factorization.

19800108081936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47820 (or 47808 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 19800108081936 in words is "nineteen trillion, eight hundred billion, one hundred eight million, eighty-one thousand, nine hundred thirty-six".