95581536482016 has 1152 divisors, whose sum is σ = 324905566003200. Its totient is φ = 26385707335680.

The previous prime is 95581536481967. The next prime is 95581536482027. The reversal of 95581536482016 is 61028463518559.

95581536482016 is a `hidden beast` number, since 9 + 5 + 5 + 8 + 1 + 536 + 4 + 82 + 0 + 16 = 666.

It is a congruent number.

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, 28763626531 + ... + 28763629853.

It is an arithmetic number, because the mean of its divisors is an integer number (282036081600).

Almost surely, 2^{95581536482016} is an apocalyptic number.

95581536482016 is a gapful number since it is divisible by the number (96) 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 95581536482016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162452783001600).

95581536482016 is an abundant number, since it is smaller than the sum of its proper divisors (229324029521184).

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

95581536482016 is a wasteful number, since it uses less digits than its factorization.

95581536482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 95581536482016 in words is "ninety-five trillion, five hundred eighty-one billion, five hundred thirty-six million, four hundred eighty-two thousand, sixteen".