196688164723200 has 2400 divisors, whose sum is σ = 769026347020800. Its totient is φ = 49584055910400.

The previous prime is 196688164723199. The next prime is 196688164723229. The reversal of 196688164723200 is 2327461886691.

196688164723200 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 88 + 164 + 72 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 320861606094 + ... + 320861606706.

It is an arithmetic number, because the mean of its divisors is an integer number (320427644592).

Almost surely, 2^{196688164723200} is an apocalyptic number.

196688164723200 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 196688164723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384513173510400).

196688164723200 is an abundant number, since it is smaller than the sum of its proper divisors (572338182297600).

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

196688164723200 is a wasteful number, since it uses less digits than its factorization.

196688164723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 196688164723200 in words is "one hundred ninety-six trillion, six hundred eighty-eight billion, one hundred sixty-four million, seven hundred twenty-three thousand, two hundred".