199804703978880 has 10752 divisors, whose sum is σ = 1076130655488000. Its totient is φ = 34338338242560.

The previous prime is 199804703978833. The next prime is 199804703978911. The reversal of 199804703978880 is 88879307408991.

It is a happy number.

199804703978880 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 0 + 4 + 70 + 397 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 199804703978880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 2244996673876 + ... + 2244996673964.

It is an arithmetic number, because the mean of its divisors is an integer number (100086556500).

Almost surely, 2^{199804703978880} is an apocalyptic number.

199804703978880 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 199804703978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538065327744000).

199804703978880 is an abundant number, since it is smaller than the sum of its proper divisors (876325951509120).

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

199804703978880 is a wasteful number, since it uses less digits than its factorization.

199804703978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 81.

The spelling of 199804703978880 in words is "one hundred ninety-nine trillion, eight hundred four billion, seven hundred three million, nine hundred seventy-eight thousand, eight hundred eighty".