95808317417088 has 256 divisors, whose sum is σ = 269131631616000. Its totient is φ = 30114592542720.

The previous prime is 95808317417081. The next prime is 95808317417089. The reversal of 95808317417088 is 88071471380859.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (95808317417081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4109992953 + ... + 4110016263.

It is an arithmetic number, because the mean of its divisors is an integer number (1051295436000).

Almost surely, 2^{95808317417088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95808317417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134565815808000).

95808317417088 is an abundant number, since it is smaller than the sum of its proper divisors (173323314198912).

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

95808317417088 is a wasteful number, since it uses less digits than its factorization.

95808317417088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25943 (or 25931 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 69.

The spelling of 95808317417088 in words is "ninety-five trillion, eight hundred eight billion, three hundred seventeen million, four hundred seventeen thousand, eighty-eight".