96460468652160 has 640 divisors, whose sum is σ = 348541739156160. Its totient is φ = 25525997752320.

The previous prime is 96460468652117. The next prime is 96460468652221. The reversal of 96460468652160 is 6125686406469.

96460468652160 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 0 + 46 + 8 + 6 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1650193494 + ... + 1650251946.

Almost surely, 2^{96460468652160} is an apocalyptic number.

96460468652160 is a gapful number since it is divisible by the number (90) 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 96460468652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270869578080).

96460468652160 is an abundant number, since it is smaller than the sum of its proper divisors (252081270504000).

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

96460468652160 is an frugal number, since it uses more digits than its factorization.

96460468652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58630 (or 58594 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 96460468652160 in words is "ninety-six trillion, four hundred sixty billion, four hundred sixty-eight million, six hundred fifty-two thousand, one hundred sixty".