95995232256 has 544 divisors, whose sum is σ = 338830069248. Its totient is φ = 23404216320.

The previous prime is 95995232251. The next prime is 95995232261. The reversal of 95995232256 is 65223259959.

It is an interprime number because it is at equal distance from previous prime (95995232251) and next prime (95995232261).

It is a tau number, because it is divible by the number of its divisors (544).

It is a junction number, because it is equal to n+sod(n) for n = 95995232196 and 95995232205.

It is not an unprimeable number, because it can be changed into a prime (95995232251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 257359686 + ... + 257360058.

It is an arithmetic number, because the mean of its divisors is an integer number (622849392).

Almost surely, 2^95995232256 is an apocalyptic number.

95995232256 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 95995232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169415034624).

95995232256 is an abundant number, since it is smaller than the sum of its proper divisors (242834836992).

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

95995232256 is a wasteful number, since it uses less digits than its factorization.

95995232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 413 counting only the distinct ones).

The product of its digits is 13122000, while the sum is 57.

The spelling of 95995232256 in words is "ninety-five billion, nine hundred ninety-five million, two hundred thirty-two thousand, two hundred fifty-six".