196681626921600 has 864 divisors, whose sum is σ = 730047838010400. Its totient is φ = 52355803023360.

The previous prime is 196681626921517. The next prime is 196681626921649. The reversal of 196681626921600 is 6129626186691.

196681626921600 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 8 + 16 + 2 + 6 + 9 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12324174421 + ... + 12324190379.

It is an arithmetic number, because the mean of its divisors is an integer number (844962775475).

Almost surely, 2^{196681626921600} is an apocalyptic number.

196681626921600 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 196681626921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365023919005200).

196681626921600 is an abundant number, since it is smaller than the sum of its proper divisors (533366211088800).

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

196681626921600 is an frugal number, since it uses more digits than its factorization.

196681626921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16594 (or 16556 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 196681626921600 in words is "one hundred ninety-six trillion, six hundred eighty-one billion, six hundred twenty-six million, nine hundred twenty-one thousand, six hundred".