196347601420800 has 480 divisors, whose sum is σ = 650513749723200. Its totient is φ = 52206879375360.

The previous prime is 196347601420721. The next prime is 196347601420807. The reversal of 196347601420800 is 8024106743691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (196347601420807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20583662431 + ... + 20583671969.

It is an arithmetic number, because the mean of its divisors is an integer number (1355236978590).

Almost surely, 2^{196347601420800} is an apocalyptic number.

196347601420800 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 196347601420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325256874861600).

196347601420800 is an abundant number, since it is smaller than the sum of its proper divisors (454166148302400).

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

196347601420800 is an equidigital number, since it uses as much as digits as its factorization.

196347601420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076 (or 11055 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 196347601420800 in words is "one hundred ninety-six trillion, three hundred forty-seven billion, six hundred one million, four hundred twenty thousand, eight hundred".