196256073646080 has 864 divisors, whose sum is σ = 784696339627200. Its totient is φ = 44445965746176.

The previous prime is 196256073646027. The next prime is 196256073646081. The reversal of 196256073646080 is 80646370652691.

196256073646080 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 5 + 60 + 7 + 36 + 460 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 196256073645999 and 196256073646017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196256073646081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4500335316 + ... + 4500378924.

It is an arithmetic number, because the mean of its divisors is an integer number (908213356050).

It is a 1-persistent number, because it is pandigital, but 2⋅196256073646080 = 392512147292160 is not.

Almost surely, 2^{196256073646080} is an apocalyptic number.

196256073646080 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 196256073646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392348169813600).

196256073646080 is an abundant number, since it is smaller than the sum of its proper divisors (588440265981120).

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

196256073646080 is an equidigital number, since it uses as much as digits as its factorization.

196256073646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43770 (or 43735 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 196256073646080 in words is "one hundred ninety-six trillion, two hundred fifty-six billion, seventy-three million, six hundred forty-six thousand, eighty".