196517088768 has 1440 divisors, whose sum is σ = 778213941120. Its totient is φ = 43197235200.

The previous prime is 196517088731. The next prime is 196517088769. The reversal of 196517088768 is 867880715691.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 196517088699 and 196517088708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196517088769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6339260913 + ... + 6339260943.

It is an arithmetic number, because the mean of its divisors is an integer number (540426348).

Almost surely, 2^196517088768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196517088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389106970560).

196517088768 is an abundant number, since it is smaller than the sum of its proper divisors (581696852352).

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

196517088768 is a wasteful number, since it uses less digits than its factorization.

196517088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 66.

The spelling of 196517088768 in words is "one hundred ninety-six billion, five hundred seventeen million, eighty-eight thousand, seven hundred sixty-eight".