199781129227680 has 2304 divisors, whose sum is σ = 980892725170176. Its totient is φ = 35630672117760.

The previous prime is 199781129227657. The next prime is 199781129227711. The reversal of 199781129227680 is 86722921187991.

199781129227680 is a `hidden beast` number, since 1 + 99 + 78 + 1 + 129 + 2 + 276 + 80 = 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 = 199781129227599 and 199781129227608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2033822727 + ... + 2033920953.

It is an arithmetic number, because the mean of its divisors is an integer number (425734689744).

Almost surely, 2^{199781129227680} is an apocalyptic number.

199781129227680 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 199781129227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490446362585088).

199781129227680 is an abundant number, since it is smaller than the sum of its proper divisors (781111595942496).

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

199781129227680 is a wasteful number, since it uses less digits than its factorization.

199781129227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98379 (or 98368 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 72.

The spelling of 199781129227680 in words is "one hundred ninety-nine trillion, seven hundred eighty-one billion, one hundred twenty-nine million, two hundred twenty-seven thousand, six hundred eighty".