196895784960 has 960 divisors, whose sum is σ = 815096163840. Its totient is φ = 44718096384.

The previous prime is 196895784919. The next prime is 196895784973. The reversal of 196895784960 is 69487598691.

196895784960 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 9 + 578 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×196895784960³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1254113202 + ... + 1254113358.

It is an arithmetic number, because the mean of its divisors is an integer number (849058504).

Almost surely, 2^196895784960 is an apocalyptic number.

196895784960 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 196895784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407548081920).

196895784960 is an abundant number, since it is smaller than the sum of its proper divisors (618200378880).

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

196895784960 is an frugal number, since it uses more digits than its factorization.

196895784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 196895784960 in words is "one hundred ninety-six billion, eight hundred ninety-five million, seven hundred eighty-four thousand, nine hundred sixty".