199111404960 has 384 divisors, whose sum is σ = 752537640960. Its totient is φ = 48878788608.

The previous prime is 199111404893. The next prime is 199111404967. The reversal of 199111404960 is 69404111991.

199111404960 is a `hidden beast` number, since 1 + 9 + 9 + 11 + 140 + 496 + 0 = 666.

It is a super-2 number, since 2×199111404960² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (199111404967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21504652 + ... + 21513908.

It is an arithmetic number, because the mean of its divisors is an integer number (1959733440).

Almost surely, 2^199111404960 is an apocalyptic number.

199111404960 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 199111404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376268820480).

199111404960 is an abundant number, since it is smaller than the sum of its proper divisors (553426236000).

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

199111404960 is a wasteful number, since it uses less digits than its factorization.

199111404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9677 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 199111404960 in words is "one hundred ninety-nine billion, one hundred eleven million, four hundred four thousand, nine hundred sixty".