95805422496 has 864 divisors, whose sum is σ = 355746867840. Its totient is φ = 24252383232.

The previous prime is 95805422441. The next prime is 95805422501. The reversal of 95805422496 is 69422450859.

95805422496 is a `hidden beast` number, since 9 + 5 + 8 + 0 + 542 + 2 + 4 + 96 = 666.

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 143 ways as a sum of consecutive naturals, for example, 535225735 + ... + 535225913.

It is an arithmetic number, because the mean of its divisors is an integer number (411744060).

Almost surely, 2^95805422496 is an apocalyptic number.

95805422496 is a gapful number since it is divisible by the number (96) 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 95805422496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177873433920).

95805422496 is an abundant number, since it is smaller than the sum of its proper divisors (259941445344).

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

95805422496 is a wasteful number, since it uses less digits than its factorization.

95805422496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 95805422496 in words is "ninety-five billion, eight hundred five million, four hundred twenty-two thousand, four hundred ninety-six".