195082756960 has 288 divisors, whose sum is σ = 588773670912. Its totient is φ = 59747051520.

The previous prime is 195082756903. The next prime is 195082756987. The reversal of 195082756960 is 69657280591.

It is a super-2 number, since 2×195082756960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 195082756895 and 195082756904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5851057 + ... + 5884303.

It is an arithmetic number, because the mean of its divisors is an integer number (2044353024).

Almost surely, 2^195082756960 is an apocalyptic number.

195082756960 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 195082756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294386835456).

195082756960 is an abundant number, since it is smaller than the sum of its proper divisors (393690913952).

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

195082756960 is a wasteful number, since it uses less digits than its factorization.

195082756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33326 (or 33305 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 195082756960 in words is "one hundred ninety-five billion, eighty-two million, seven hundred fifty-six thousand, nine hundred sixty".