196442188800 has 1056 divisors, whose sum is σ = 788726851584. Its totient is φ = 42467328000.

The previous prime is 196442188799. The next prime is 196442188801. The reversal of 196442188800 is 8881244691.

It is an interprime number because it is at equal distance from previous prime (196442188799) and next prime (196442188801).

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (196442188801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340454112 + ... + 340454688.

Almost surely, 2^196442188800 is an apocalyptic number.

196442188800 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 196442188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394363425792).

196442188800 is an abundant number, since it is smaller than the sum of its proper divisors (592284662784).

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

196442188800 is a wasteful number, since it uses less digits than its factorization.

196442188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 196442188800 in words is "one hundred ninety-six billion, four hundred forty-two million, one hundred eighty-eight thousand, eight hundred".