19109045680200 has 960 divisors, whose sum is σ = 80427031090560. Its totient is φ = 4104941690880.

The previous prime is 19109045680187. The next prime is 19109045680201. The reversal of 19109045680200 is 208654090191.

19109045680200 is a `hidden beast` number, since 1 + 9 + 10 + 90 + 456 + 80 + 20 + 0 = 666.

It is a super-3 number, since 3×19109045680200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19109045680201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1413070639 + ... + 1413084161.

It is an arithmetic number, because the mean of its divisors is an integer number (83778157386).

Almost surely, 2^{19109045680200} is an apocalyptic number.

19109045680200 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 19109045680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40213515545280).

19109045680200 is an abundant number, since it is smaller than the sum of its proper divisors (61317985410360).

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

19109045680200 is a wasteful number, since it uses less digits than its factorization.

19109045680200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14308 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 19109045680200 in words is "nineteen trillion, one hundred nine billion, forty-five million, six hundred eighty thousand, two hundred".