196172746560 has 840 divisors, whose sum is σ = 816265412424. Its totient is φ = 44590694400.

The previous prime is 196172746519. The next prime is 196172746579. The reversal of 196172746560 is 65647271691.

196172746560 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 7 + 2 + 74 + 6 + 560 = 666.

196172746560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108646707456 + 87526039104 = 329616^2 + 295848^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 196172746497 and 196172746506.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 326410260 + ... + 326410860.

Almost surely, 2^196172746560 is an apocalyptic number.

196172746560 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 196172746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408132706212).

196172746560 is an abundant number, since it is smaller than the sum of its proper divisors (620092665864).

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

196172746560 is a wasteful number, since it uses less digits than its factorization.

196172746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 196172746560 in words is "one hundred ninety-six billion, one hundred seventy-two million, seven hundred forty-six thousand, five hundred sixty".