196432891200 has 1008 divisors, whose sum is σ = 865343781120. Its totient is φ = 41398456320.

The previous prime is 196432891141. The next prime is 196432891223. The reversal of 196432891200 is 2198234691.

196432891200 is a `hidden beast` number, since 1 + 9 + 6 + 432 + 8 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 221457157 + ... + 221458043.

Almost surely, 2^196432891200 is an apocalyptic number.

196432891200 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 196432891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432671890560).

196432891200 is an abundant number, since it is smaller than the sum of its proper divisors (668910889920).

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

196432891200 is a wasteful number, since it uses less digits than its factorization.

196432891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 196432891200 in words is "one hundred ninety-six billion, four hundred thirty-two million, eight hundred ninety-one thousand, two hundred".