199268776080 has 640 divisors, whose sum is σ = 799405977600. Its totient is φ = 45113241600.

The previous prime is 199268776039. The next prime is 199268776117. The reversal of 199268776080 is 80677862991.

199268776080 is a `hidden beast` number, since 19 + 9 + 2 + 6 + 8 + 7 + 7 + 608 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 199268775999 and 199268776017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32049132 + ... + 32055348.

It is an arithmetic number, because the mean of its divisors is an integer number (1249071840).

Almost surely, 2^199268776080 is an apocalyptic number.

199268776080 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 199268776080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399702988800).

199268776080 is an abundant number, since it is smaller than the sum of its proper divisors (600137201520).

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

199268776080 is a wasteful number, since it uses less digits than its factorization.

199268776080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6328 counting only the distinct ones).

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

The spelling of 199268776080 in words is "one hundred ninety-nine billion, two hundred sixty-eight million, seven hundred seventy-six thousand, eighty".