196109993410560 has 1024 divisors, whose sum is σ = 708215878656000. Its totient is φ = 52122954498048.

The previous prime is 196109993410553. The next prime is 196109993410571. The reversal of 196109993410560 is 65014399901691.

196109993410560 is a `hidden beast` number, since 1 + 9 + 61 + 0 + 9 + 9 + 9 + 3 + 4 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 137235823926 + ... + 137235825354.

It is an arithmetic number, because the mean of its divisors is an integer number (691617069000).

Almost surely, 2^{196109993410560} is an apocalyptic number.

196109993410560 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 196109993410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354107939328000).

196109993410560 is an abundant number, since it is smaller than the sum of its proper divisors (512105885245440).

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

196109993410560 is an frugal number, since it uses more digits than its factorization.

196109993410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 196109993410560 in words is "one hundred ninety-six trillion, one hundred nine billion, nine hundred ninety-three million, four hundred ten thousand, five hundred sixty".