199041605959680 has 2400 divisors, whose sum is σ = 803506547289600. Its totient is φ = 47087773286400.

The previous prime is 199041605959657. The next prime is 199041605959681. The reversal of 199041605959680 is 86959506140991.

199041605959680 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 4 + 1 + 605 + 9 + 5 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 199041605959599 and 199041605959608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199041605959681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1567256739777 + ... + 1567256739903.

It is an arithmetic number, because the mean of its divisors is an integer number (334794394704).

Almost surely, 2^{199041605959680} is an apocalyptic number.

199041605959680 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 199041605959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401753273644800).

199041605959680 is an abundant number, since it is smaller than the sum of its proper divisors (604464941329920).

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

199041605959680 is an frugal number, since it uses more digits than its factorization.

199041605959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 72.

The spelling of 199041605959680 in words is "one hundred ninety-nine trillion, forty-one billion, six hundred five million, nine hundred fifty-nine thousand, six hundred eighty".