95173330099968 has 432 divisors, whose sum is σ = 283780422097536. Its totient is φ = 30653126369280.

The previous prime is 95173330099963. The next prime is 95173330099973. The reversal of 95173330099968 is 86999003337159.

95173330099968 is a `hidden beast` number, since 9 + 5 + 173 + 3 + 300 + 9 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (95173330099963) and next prime (95173330099973).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 95173330099896 and 95173330099905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95173330099963) 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 47 ways as a sum of consecutive naturals, for example, 26832061971 + ... + 26832065517.

Almost surely, 2^{95173330099968} 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 95173330099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141890211048768).

95173330099968 is an abundant number, since it is smaller than the sum of its proper divisors (188607091997568).

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

95173330099968 is a wasteful number, since it uses less digits than its factorization.

95173330099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 95173330099968 in words is "ninety-five trillion, one hundred seventy-three billion, three hundred thirty million, ninety-nine thousand, nine hundred sixty-eight".