96266415168 has 1344 divisors, whose sum is σ = 388779471360. Its totient is φ = 22773104640.

The previous prime is 96266415139. The next prime is 96266415197. The reversal of 96266415168 is 86151466269.

96266415168 is a `hidden beast` number, since 9 + 6 + 2 + 66 + 415 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (96266415139) and next prime (96266415197).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1318717980 + ... + 1318718052.

It is an arithmetic number, because the mean of its divisors is an integer number (289270440).

Almost surely, 2^96266415168 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 96266415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194389735680).

96266415168 is an abundant number, since it is smaller than the sum of its proper divisors (292513056192).

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

96266415168 is a wasteful number, since it uses less digits than its factorization.

96266415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 96266415168 in words is "ninety-six billion, two hundred sixty-six million, four hundred fifteen thousand, one hundred sixty-eight".