95664868128 has 192 divisors, whose sum is σ = 304967255040. Its totient is φ = 29044224000.

The previous prime is 95664868127. The next prime is 95664868129. The reversal of 95664868128 is 82186846659.

95664868128 is a `hidden beast` number, since 9 + 56 + 6 + 486 + 81 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (95664868127) and next prime (95664868129).

It is not an unprimeable number, because it can be changed into a prime (95664868127) 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, 350278 + ... + 560378.

It is an arithmetic number, because the mean of its divisors is an integer number (1588371120).

Almost surely, 2^95664868128 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 95664868128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152483627520).

95664868128 is an abundant number, since it is smaller than the sum of its proper divisors (209302386912).

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

95664868128 is a wasteful number, since it uses less digits than its factorization.

95664868128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210168 (or 210154 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 95664868128 in words is "ninety-five billion, six hundred sixty-four million, eight hundred sixty-eight thousand, one hundred twenty-eight".