196632719089920 has 216 divisors, whose sum is σ = 681339641977176. Its totient is φ = 52357476777984.

The previous prime is 196632719089901. The next prime is 196632719089931. The reversal of 196632719089920 is 29980917236691.

196632719089920 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 327 + 190 + 8 + 99 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 340514263296 + 196292204826624 = 583536^2 + 14010432^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4928179 + ... + 20434098.

Almost surely, 2^{196632719089920} is an apocalyptic number.

196632719089920 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 196632719089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340669820988588).

196632719089920 is an abundant number, since it is smaller than the sum of its proper divisors (484706922887256).

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

196632719089920 is a wasteful number, since it uses less digits than its factorization.

196632719089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25362977 (or 25362960 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 196632719089920 in words is "one hundred ninety-six trillion, six hundred thirty-two billion, seven hundred nineteen million, eighty-nine thousand, nine hundred twenty".