95505135264 has 768 divisors, whose sum is σ = 361834905600. Its totient is φ = 24085693440.

The previous prime is 95505135239. The next prime is 95505135287. The reversal of 95505135264 is 46253150559.

95505135264 is a `hidden beast` number, since 9 + 5 + 505 + 135 + 2 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199384177 + ... + 199384655.

It is an arithmetic number, because the mean of its divisors is an integer number (471139200).

Almost surely, 2^95505135264 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 95505135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180917452800).

95505135264 is an abundant number, since it is smaller than the sum of its proper divisors (266329770336).

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

95505135264 is a wasteful number, since it uses less digits than its factorization.

95505135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 95505135264 in words is "ninety-five billion, five hundred five million, one hundred thirty-five thousand, two hundred sixty-four".