96164882856 has 640 divisors, whose sum is σ = 339663456000. Its totient is φ = 24804569088.

The previous prime is 96164882843. The next prime is 96164882881. The reversal of 96164882856 is 65828846169.

96164882856 is a `hidden beast` number, since 9 + 616 + 4 + 8 + 8 + 2 + 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 = 96164882793 and 96164882802.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 169006540 + ... + 169007108.

It is an arithmetic number, because the mean of its divisors is an integer number (530724150).

Almost surely, 2^96164882856 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 96164882856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169831728000).

96164882856 is an abundant number, since it is smaller than the sum of its proper divisors (243498573144).

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

96164882856 is a wasteful number, since it uses less digits than its factorization.

96164882856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

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

The spelling of 96164882856 in words is "ninety-six billion, one hundred sixty-four million, eight hundred eighty-two thousand, eight hundred fifty-six".