195693760512 has 520 divisors, whose sum is σ = 616550330880. Its totient is φ = 61763420160.

The previous prime is 195693760501. The next prime is 195693760513. The reversal of 195693760512 is 215067396591.

195693760512 is a `hidden beast` number, since 1 + 9 + 5 + 69 + 3 + 7 + 60 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195693760513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545107789 + ... + 545108147.

Almost surely, 2^195693760512 is an apocalyptic number.

195693760512 is a gapful number since it is divisible by the number (12) 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 195693760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308275165440).

195693760512 is an abundant number, since it is smaller than the sum of its proper divisors (420856570368).

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

195693760512 is an equidigital number, since it uses as much as digits as its factorization.

195693760512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 195693760512 in words is "one hundred ninety-five billion, six hundred ninety-three million, seven hundred sixty thousand, five hundred twelve".