95384272896000 has 2432 divisors, whose sum is σ = 392743140042240. Its totient is φ = 23123460096000.

The previous prime is 95384272895941. The next prime is 95384272896001. The reversal of 95384272896000 is 69827248359.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

95384272896000 is a `hidden beast` number, since 9 + 538 + 4 + 2 + 7 + 2 + 8 + 96 + 0 + 0 + 0 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=31680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95384272896001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8671297535995 + ... + 8671297536005.

Almost surely, 2^{95384272896000} is an apocalyptic number.

95384272896000 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 95384272896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196371570021120).

95384272896000 is an abundant number, since it is smaller than the sum of its proper divisors (297358867146240).

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

95384272896000 is an frugal number, since it uses more digits than its factorization.

95384272896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 95384272896000 in words is "ninety-five trillion, three hundred eighty-four billion, two hundred seventy-two million, eight hundred ninety-six thousand".