95260431168 has 252 divisors, whose sum is σ = 318420068772. Its totient is φ = 27149230080.

The previous prime is 95260431131. The next prime is 95260431169. The reversal of 95260431168 is 86113406259.

95260431168 is a `hidden beast` number, since 9 + 5 + 2 + 604 + 31 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19256557824 + 76003873344 = 138768^2 + 275688^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×95260431168³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95260431169) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11878296 + ... + 11886312.

Almost surely, 2^95260431168 is an apocalyptic number.

95260431168 is a gapful number since it is divisible by the number (98) 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 95260431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159210034386).

95260431168 is an abundant number, since it is smaller than the sum of its proper divisors (223159637604).

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

95260431168 is a wasteful number, since it uses less digits than its factorization.

95260431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 95260431168 in words is "ninety-five billion, two hundred sixty million, four hundred thirty-one thousand, one hundred sixty-eight".