95491782225 has 192 divisors, whose sum is σ = 212176896000. Its totient is φ = 41131929600.

The previous prime is 95491782161. The next prime is 95491782247. The reversal of 95491782225 is 52228719459.

95491782225 is a `hidden beast` number, since 9 + 549 + 1 + 78 + 2 + 2 + 25 = 666.

It is not a de Polignac number, because 95491782225 - 2⁶ = 95491782161 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17144241 + ... + 17149809.

It is an arithmetic number, because the mean of its divisors is an integer number (1105088000).

Almost surely, 2^95491782225 is an apocalyptic number.

95491782225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

95491782225 is an abundant number, since it is smaller than the sum of its proper divisors (116685113775).

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

95491782225 is a wasteful number, since it uses less digits than its factorization.

95491782225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5794 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 95491782225 in words is "ninety-five billion, four hundred ninety-one million, seven hundred eighty-two thousand, two hundred twenty-five".