95605376256 has 216 divisors, whose sum is σ = 304884736520. Its totient is φ = 28621651968.

The previous prime is 95605376239. The next prime is 95605376257. The reversal of 95605376256 is 65267350659.

It is a happy number.

95605376256 is a `hidden beast` number, since 9 + 5 + 6 + 0 + 5 + 3 + 7 + 625 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5115110400 + 90490265856 = 71520^2 + 300816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95605376257) 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 23 ways as a sum of consecutive naturals, for example, 1065090 + ... + 1151358.

Almost surely, 2^95605376256 is an apocalyptic number.

95605376256 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 95605376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152442368260).

95605376256 is an abundant number, since it is smaller than the sum of its proper divisors (209279360264).

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

95605376256 is a wasteful number, since it uses less digits than its factorization.

95605376256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86341 (or 86324 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 95605376256 in words is "ninety-five billion, six hundred five million, three hundred seventy-six thousand, two hundred fifty-six".