96165273600 has 1680 divisors, whose sum is σ = 424760599296. Its totient is φ = 21233664000.

The previous prime is 96165273587. The next prime is 96165273601. The reversal of 96165273600 is 637256169.

96165273600 is a `hidden beast` number, since 9 + 6 + 16 + 5 + 27 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (96165273601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3102105585 + ... + 3102105615.

Almost surely, 2^96165273600 is an apocalyptic number.

96165273600 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 96165273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212380299648).

96165273600 is an abundant number, since it is smaller than the sum of its proper divisors (328595325696).

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

96165273600 is a wasteful number, since it uses less digits than its factorization.

96165273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 96165273600 in words is "ninety-six billion, one hundred sixty-five million, two hundred seventy-three thousand, six hundred".