19806899618100 has 288 divisors, whose sum is σ = 67299155078400. Its totient is φ = 4402691850240.

The previous prime is 19806899618089. The next prime is 19806899618141. The reversal of 19806899618100 is 181699860891.

It is a super-2 number, since 2×19806899618100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 155103076 + ... + 155230724.

It is an arithmetic number, because the mean of its divisors is an integer number (233677621800).

Almost surely, 2^{19806899618100} is an apocalyptic number.

19806899618100 is a gapful number since it is divisible by the number (10) 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 19806899618100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33649577539200).

19806899618100 is an abundant number, since it is smaller than the sum of its proper divisors (47492255460300).

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

19806899618100 is a wasteful number, since it uses less digits than its factorization.

19806899618100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129707 (or 129700 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 66.

The spelling of 19806899618100 in words is "nineteen trillion, eight hundred six billion, eight hundred ninety-nine million, six hundred eighteen thousand, one hundred".