855195853824 has 825 divisors, whose sum is σ = 2919863400927. Its totient is φ = 249287860224.

The previous prime is 855195853777. The next prime is 855195853849. The reversal of 855195853824 is 428358591558.

The square root of 855195853824 is 924768.

It is a perfect power (a square), and thus also a powerful number.

855195853824 is a `hidden beast` number, since 8 + 5 + 5 + 1 + 95 + 8 + 538 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424019764224 + 431176089600 = 651168^2 + 656640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 45010308087 + ... + 45010308105.

Almost surely, 2^855195853824 is an apocalyptic number.

855195853824 is the 924768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855195853824

855195853824 is an abundant number, since it is smaller than the sum of its proper divisors (2064667547103).

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

855195853824 is an frugal number, since it uses more digits than its factorization.

855195853824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 37 counting only the distinct ones).

The product of its digits is 69120000, while the sum is 63.

The spelling of 855195853824 in words is "eight hundred fifty-five billion, one hundred ninety-five million, eight hundred fifty-three thousand, eight hundred twenty-four".