199691396601840 has 960 divisors, whose sum is σ = 852844394465280. Its totient is φ = 42334258452480.

The previous prime is 199691396601779. The next prime is 199691396601841. The reversal of 199691396601840 is 48106693196991.

199691396601840 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 9 + 1 + 3 + 9 + 6 + 601 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199691396601841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110610249 + ... + 112401111.

It is an arithmetic number, because the mean of its divisors is an integer number (888379577568).

Almost surely, 2^{199691396601840} is an apocalyptic number.

199691396601840 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 199691396601840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426422197232640).

199691396601840 is an abundant number, since it is smaller than the sum of its proper divisors (653152997863440).

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

199691396601840 is a wasteful number, since it uses less digits than its factorization.

199691396601840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790947 (or 1790916 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 199691396601840 in words is "one hundred ninety-nine trillion, six hundred ninety-one billion, three hundred ninety-six million, six hundred one thousand, eight hundred forty".