199768028760 has 480 divisors, whose sum is σ = 703068070320. Its totient is φ = 50866030080.

The previous prime is 199768028749. The next prime is 199768028771. The reversal of 199768028760 is 67820867991.

It is an interprime number because it is at equal distance from previous prime (199768028749) and next prime (199768028771).

It is a super-3 number, since 3×199768028760³ (a number of 35 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 258431734 + ... + 258432506.

Almost surely, 2^199768028760 is an apocalyptic number.

199768028760 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 199768028760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351534035160).

199768028760 is an abundant number, since it is smaller than the sum of its proper divisors (503300041560).

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

199768028760 is a wasteful number, since it uses less digits than its factorization.

199768028760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 199768028760 in words is "one hundred ninety-nine billion, seven hundred sixty-eight million, twenty-eight thousand, seven hundred sixty".