199691055794880 has 1008 divisors, whose sum is σ = 768695495087520. Its totient is φ = 49116594143232.

The previous prime is 199691055794843. The next prime is 199691055794897. The reversal of 199691055794880 is 88497550196991.

199691055794880 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 9 + 10 + 55 + 79 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 199691055794880.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54014349192 + ... + 54014352888.

It is an arithmetic number, because the mean of its divisors is an integer number (762594737190).

Almost surely, 2^{199691055794880} is an apocalyptic number.

199691055794880 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 199691055794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384347747543760).

199691055794880 is an abundant number, since it is smaller than the sum of its proper divisors (569004439292640).

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

199691055794880 is an equidigital number, since it uses as much as digits as its factorization.

199691055794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 81.

The spelling of 199691055794880 in words is "one hundred ninety-nine trillion, six hundred ninety-one billion, fifty-five million, seven hundred ninety-four thousand, eight hundred eighty".