195257696256 has 456 divisors, whose sum is σ = 674191139040. Its totient is φ = 55688822784.

The previous prime is 195257696237. The next prime is 195257696273. The reversal of 195257696256 is 652696752591.

195257696256 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 576 + 9 + 6 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 195257696193 and 195257696202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 346816231 + ... + 346816793.

It is an arithmetic number, because the mean of its divisors is an integer number (1478489340).

Almost surely, 2^195257696256 is an apocalyptic number.

195257696256 is a gapful number since it is divisible by the number (16) 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 195257696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337095569520).

195257696256 is an abundant number, since it is smaller than the sum of its proper divisors (478933442784).

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

195257696256 is an frugal number, since it uses more digits than its factorization.

195257696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 575 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The spelling of 195257696256 in words is "one hundred ninety-five billion, two hundred fifty-seven million, six hundred ninety-six thousand, two hundred fifty-six".