196217985600 has 2688 divisors, whose sum is σ = 965138227200. Its totient is φ = 37623398400.

The previous prime is 196217985569. The next prime is 196217985653. The reversal of 196217985600 is 6589712691.

196217985600 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 1 + 79 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 2763633565 + ... + 2763633635.

It is an arithmetic number, because the mean of its divisors is an integer number (359054400).

Almost surely, 2^196217985600 is an apocalyptic number.

196217985600 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 196217985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482569113600).

196217985600 is an abundant number, since it is smaller than the sum of its proper divisors (768920241600).

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

196217985600 is a wasteful number, since it uses less digits than its factorization.

196217985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 196217985600 in words is "one hundred ninety-six billion, two hundred seventeen million, nine hundred eighty-five thousand, six hundred".