199503875429376 has 1056 divisors, whose sum is σ = 647915910727680. Its totient is φ = 54376568193024.

The previous prime is 199503875429351. The next prime is 199503875429401. The reversal of 199503875429376 is 673924578305991.

It is an interprime number because it is at equal distance from previous prime (199503875429351) and next prime (199503875429401).

It is a super-2 number, since 2×199503875429376² (a number of 29 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, 45979227015 + ... + 45979231353.

It is a 1-persistent number, because it is pandigital, but 2⋅199503875429376 = 399007750858752 is not.

Almost surely, 2^{199503875429376} is an apocalyptic number.

199503875429376 is a gapful number since it is divisible by the number (16) 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 199503875429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323957955363840).

199503875429376 is an abundant number, since it is smaller than the sum of its proper divisors (448412035298304).

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

199503875429376 is a wasteful number, since it uses less digits than its factorization.

199503875429376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 3086294400, while the sum is 78.

The spelling of 199503875429376 in words is "one hundred ninety-nine trillion, five hundred three billion, eight hundred seventy-five million, four hundred twenty-nine thousand, three hundred seventy-six".