196268889600 has 1440 divisors, whose sum is σ = 864379676160. Its totient is φ = 41511813120.

The previous prime is 196268889559. The next prime is 196268889613. The reversal of 196268889600 is 6988862691.

196268889600 is a `hidden beast` number, since 19 + 6 + 2 + 6 + 8 + 8 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1412006331 + ... + 1412006469.

It is an arithmetic number, because the mean of its divisors is an integer number (600263664).

Almost surely, 2^196268889600 is an apocalyptic number.

196268889600 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 196268889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432189838080).

196268889600 is an abundant number, since it is smaller than the sum of its proper divisors (668110786560).

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

196268889600 is a wasteful number, since it uses less digits than its factorization.

196268889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 196268889600 in words is "one hundred ninety-six billion, two hundred sixty-eight million, eight hundred eighty-nine thousand, six hundred".