96958477168 has 80 divisors (see below), whose sum is σ = 219770308800. Its totient is φ = 41421805824.

The previous prime is 96958477163. The next prime is 96958477169. The reversal of 96958477168 is 86177485969.

It is a junction number, because it is equal to n+sod(n) for n = 96958477097 and 96958477106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96958477163) 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 15 ways as a sum of consecutive naturals, for example, 1711830 + ... + 1767562.

It is an arithmetic number, because the mean of its divisors is an integer number (2747128860).

Almost surely, 2^96958477168 is an apocalyptic number.

96958477168 is a gapful number since it is divisible by the number (98) 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 96958477168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885154400).

96958477168 is an abundant number, since it is smaller than the sum of its proper divisors (122811831632).

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

96958477168 is a wasteful number, since it uses less digits than its factorization.

96958477168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56079 (or 56059 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 70.

The spelling of 96958477168 in words is "ninety-six billion, nine hundred fifty-eight million, four hundred seventy-seven thousand, one hundred sixty-eight".