196798704400 has 135 divisors (see below), whose sum is σ = 485519523069. Its totient is φ = 76657536000.

The previous prime is 196798704397. The next prime is 196798704433. The reversal of 196798704400 is 4407897691.

The square root of 196798704400 is 443620.

It is a perfect power (a square), and thus also a powerful number.

196798704400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 196685154064 + 113550336 = 443492^2 + 10656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 363768130 + ... + 363768670.

Almost surely, 2^196798704400 is an apocalyptic number.

196798704400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196798704400 is the 443620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196798704400

196798704400 is an abundant number, since it is smaller than the sum of its proper divisors (288720818669).

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

196798704400 is an frugal number, since it uses more digits than its factorization.

196798704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 196798704400 in words is "one hundred ninety-six billion, seven hundred ninety-eight million, seven hundred four thousand, four hundred".