95965422108192 has 2688 divisors, whose sum is σ = 368149961088000. Its totient is φ = 24590935369728.

The previous prime is 95965422108191. The next prime is 95965422108203. The reversal of 95965422108192 is 29180122456959.

95965422108192 is a `hidden beast` number, since 9 + 5 + 9 + 6 + 5 + 422 + 10 + 8 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95965422108191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 931703127213 + ... + 931703127315.

It is an arithmetic number, because the mean of its divisors is an integer number (136960551000).

Almost surely, 2^{95965422108192} 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 95965422108192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184074980544000).

95965422108192 is an abundant number, since it is smaller than the sum of its proper divisors (272184538979808).

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

95965422108192 is an equidigital number, since it uses as much as digits as its factorization.

95965422108192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 95965422108192 in words is "ninety-five trillion, nine hundred sixty-five billion, four hundred twenty-two million, one hundred eight thousand, one hundred ninety-two".