196580864800 has 36 divisors (see below), whose sum is σ = 479903038146. Its totient is φ = 78632345600.

The previous prime is 196580864771. The next prime is 196580864891. The reversal of 196580864800 is 8468085691.

It can be written as a sum of positive squares in 3 ways, for example, as 155308504464 + 41272360336 = 394092^2 + 203156^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 122862241 + ... + 122863840.

Almost surely, 2^196580864800 is an apocalyptic number.

196580864800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196580864800 is an abundant number, since it is smaller than the sum of its proper divisors (283322173346).

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

196580864800 is a wasteful number, since it uses less digits than its factorization.

196580864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245726101 (or 245726088 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 196580864800 in words is "one hundred ninety-six billion, five hundred eighty million, eight hundred sixty-four thousand, eight hundred".