95309252064 has 288 divisors, whose sum is σ = 316600843104. Its totient is φ = 26926940160.

The previous prime is 95309252063. The next prime is 95309252111. The reversal of 95309252064 is 46025290359.

95309252064 is a `hidden beast` number, since 9 + 5 + 30 + 92 + 520 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95309252063) 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 47 ways as a sum of consecutive naturals, for example, 2591307 + ... + 2627829.

It is an arithmetic number, because the mean of its divisors is an integer number (1099308483).

Almost surely, 2^95309252064 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 95309252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158300421552).

95309252064 is an abundant number, since it is smaller than the sum of its proper divisors (221291591040).

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

95309252064 is a wasteful number, since it uses less digits than its factorization.

95309252064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36610 (or 36599 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 95309252064 in words is "ninety-five billion, three hundred nine million, two hundred fifty-two thousand, sixty-four".