95929325856 has 432 divisors, whose sum is σ = 346126435200. Its totient is φ = 24976014336.

The previous prime is 95929325783. The next prime is 95929325887. The reversal of 95929325856 is 65852392959.

95929325856 is a `hidden beast` number, since 9 + 592 + 9 + 32 + 5 + 8 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 95929325793 and 95929325802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14489715 + ... + 14496333.

It is an arithmetic number, because the mean of its divisors is an integer number (801218600).

Almost surely, 2^95929325856 is an apocalyptic number.

95929325856 is a gapful number since it is divisible by the number (96) 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 95929325856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173063217600).

95929325856 is an abundant number, since it is smaller than the sum of its proper divisors (250197109344).

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

95929325856 is a wasteful number, since it uses less digits than its factorization.

95929325856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6723 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 95929325856 in words is "ninety-five billion, nine hundred twenty-nine million, three hundred twenty-five thousand, eight hundred fifty-six".