195788122865280 has 3072 divisors, whose sum is σ = 826280372736000. Its totient is φ = 42160147660800.

The previous prime is 195788122865261. The next prime is 195788122865329. The reversal of 195788122865280 is 82568221887591.

195788122865280 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 8 + 8 + 12 + 2 + 86 + 528 + 0 = 666.

It is a super-4 number, since 4×195788122865280⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 195788122865199 and 195788122865208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 560997486546 + ... + 560997486894.

It is an arithmetic number, because the mean of its divisors is an integer number (268971475500).

Almost surely, 2^{195788122865280} is an apocalyptic number.

195788122865280 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 195788122865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413140186368000).

195788122865280 is an abundant number, since it is smaller than the sum of its proper divisors (630492249870720).

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

195788122865280 is a wasteful number, since it uses less digits than its factorization.

195788122865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 72.

The spelling of 195788122865280 in words is "one hundred ninety-five trillion, seven hundred eighty-eight billion, one hundred twenty-two million, eight hundred sixty-five thousand, two hundred eighty".