95495832576 has 495 divisors, whose sum is σ = 303539675439. Its totient is φ = 29903634432.

The previous prime is 95495832479. The next prime is 95495832581. The reversal of 95495832576 is 67523859459.

The square root of 95495832576 is 309024.

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

95495832576 is a `hidden beast` number, since 9 + 5 + 4 + 9 + 58 + 3 + 2 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20323353600 + 75172478976 = 142560^2 + 274176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2580968430 + ... + 2580968466.

Almost surely, 2^95495832576 is an apocalyptic number.

95495832576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

95495832576 is the 309024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95495832576

95495832576 is an abundant number, since it is smaller than the sum of its proper divisors (208043842863).

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

95495832576 is an equidigital number, since it uses as much as digits as its factorization.

95495832576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 71 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 95495832576 in words is "ninety-five billion, four hundred ninety-five million, eight hundred thirty-two thousand, five hundred seventy-six".