196725805056000 has 4096 divisors, whose sum is σ = 847974666240000. Its totient is φ = 44534071296000.

The previous prime is 196725805055893. The next prime is 196725805056013. The reversal of 196725805056000 is 650508527691.

196725805056000 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 2 + 580 + 5 + 0 + 56 + 0 + 0 + 0 = 666.

196725805056000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2210402303956 + ... + 2210402304044.

It is an arithmetic number, because the mean of its divisors is an integer number (207025065000).

Almost surely, 2^{196725805056000} is an apocalyptic number.

196725805056000 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 196725805056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423987333120000).

196725805056000 is an abundant number, since it is smaller than the sum of its proper divisors (651248861184000).

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

196725805056000 is an equidigital number, since it uses as much as digits as its factorization.

196725805056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 196725805056000 in words is "one hundred ninety-six trillion, seven hundred twenty-five billion, eight hundred five million, fifty-six thousand".