199302223680 has 1008 divisors, whose sum is σ = 870813478080. Its totient is φ = 43141496832.

The previous prime is 199302223651. The next prime is 199302223691. The reversal of 199302223680 is 86322203991.

It is a happy number.

199302223680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 143 ways as a sum of consecutive naturals, for example, 72393184 + ... + 72395936.

It is an arithmetic number, because the mean of its divisors is an integer number (863902260).

Almost surely, 2^199302223680 is an apocalyptic number.

199302223680 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 199302223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435406739040).

199302223680 is an abundant number, since it is smaller than the sum of its proper divisors (671511254400).

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

199302223680 is a wasteful number, since it uses less digits than its factorization.

199302223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 199302223680 in words is "one hundred ninety-nine billion, three hundred two million, two hundred twenty-three thousand, six hundred eighty".