195782780160 has 1440 divisors, whose sum is σ = 807740398080. Its totient is φ = 44856115200.

The previous prime is 195782780077. The next prime is 195782780161. The reversal of 195782780160 is 61087287591.

195782780160 is a `hidden beast` number, since 1 + 9 + 578 + 2 + 7 + 8 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 195782780097 and 195782780106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195782780161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2478263001 + ... + 2478263079.

It is an arithmetic number, because the mean of its divisors is an integer number (560930832).

Almost surely, 2^195782780160 is an apocalyptic number.

195782780160 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 195782780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403870199040).

195782780160 is an abundant number, since it is smaller than the sum of its proper divisors (611957617920).

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

195782780160 is a wasteful number, since it uses less digits than its factorization.

195782780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 195782780160 in words is "one hundred ninety-five billion, seven hundred eighty-two million, seven hundred eighty thousand, one hundred sixty".