199179880956 has 288 divisors, whose sum is σ = 611152109568. Its totient is φ = 55548400320.

The previous prime is 199179880943. The next prime is 199179880969. The reversal of 199179880956 is 659088971991.

199179880956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199179880943) and next prime (199179880969).

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, 49755651 + ... + 49759653.

It is an arithmetic number, because the mean of its divisors is an integer number (2122055936).

Almost surely, 2^199179880956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199179880956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305576054784).

199179880956 is an abundant number, since it is smaller than the sum of its proper divisors (411972228612).

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

199179880956 is a wasteful number, since it uses less digits than its factorization.

199179880956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 72.

The spelling of 199179880956 in words is "one hundred ninety-nine billion, one hundred seventy-nine million, eight hundred eighty thousand, nine hundred fifty-six".