196517105040 has 320 divisors, whose sum is σ = 628625836800. Its totient is φ = 50766938112.

The previous prime is 196517104967. The next prime is 196517105041. The reversal of 196517105040 is 40501715691.

196517105040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 196517105040.

It is not an unprimeable number, because it can be changed into a prime (196517105041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505185166 + ... + 505185554.

It is an arithmetic number, because the mean of its divisors is an integer number (1964455740).

Almost surely, 2^196517105040 is an apocalyptic number.

196517105040 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 196517105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314312918400).

196517105040 is an abundant number, since it is smaller than the sum of its proper divisors (432108731760).

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

196517105040 is a wasteful number, since it uses less digits than its factorization.

196517105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 196517105040 in words is "one hundred ninety-six billion, five hundred seventeen million, one hundred five thousand, forty".