199832194615680 has 384 divisors, whose sum is σ = 753915964033440. Its totient is φ = 48370869043200.

The previous prime is 199832194615667. The next prime is 199832194615687. The reversal of 199832194615680 is 86516491238991.

199832194615680 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 3 + 2 + 19 + 46 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 199832194615599 and 199832194615608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199832194615687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39495244 + ... + 44266676.

Almost surely, 2^{199832194615680} is an apocalyptic number.

199832194615680 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 199832194615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376957982016720).

199832194615680 is an abundant number, since it is smaller than the sum of its proper divisors (554083769417760).

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

199832194615680 is a wasteful number, since it uses less digits than its factorization.

199832194615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772130 (or 4772115 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 199832194615680 in words is "one hundred ninety-nine trillion, eight hundred thirty-two billion, one hundred ninety-four million, six hundred fifteen thousand, six hundred eighty".