95084530416 has 120 divisors (see below), whose sum is σ = 269733683856. Its totient is φ = 31263805440.

The previous prime is 95084530393. The next prime is 95084530417. The reversal of 95084530416 is 61403548059.

95084530416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95084530417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8037786 + ... + 8049606.

Almost surely, 2^95084530416 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 95084530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134866841928).

95084530416 is an abundant number, since it is smaller than the sum of its proper divisors (174649153440).

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

95084530416 is a wasteful number, since it uses less digits than its factorization.

95084530416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12591 (or 12582 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 95084530416 in words is "ninety-five billion, eighty-four million, five hundred thirty thousand, four hundred sixteen".