196101942796800 has 1920 divisors, whose sum is σ = 750527063193600. Its totient is φ = 50116038819840.

The previous prime is 196101942796789. The next prime is 196101942796807. The reversal of 196101942796800 is 8697249101691.

196101942796800 is a `hidden beast` number, since 1 + 9 + 610 + 1 + 9 + 4 + 2 + 7 + 9 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (196101942796807) 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 191 ways as a sum of consecutive naturals, for example, 213386226741 + ... + 213386227659.

It is an arithmetic number, because the mean of its divisors is an integer number (390899512080).

Almost surely, 2^{196101942796800} is an apocalyptic number.

196101942796800 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 196101942796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375263531596800).

196101942796800 is an abundant number, since it is smaller than the sum of its proper divisors (554425120396800).

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

196101942796800 is a wasteful number, since it uses less digits than its factorization.

196101942796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 196101942796800 in words is "one hundred ninety-six trillion, one hundred one billion, nine hundred forty-two million, seven hundred ninety-six thousand, eight hundred".