95789643005952 has 1088 divisors, whose sum is σ = 344044388198400. Its totient is φ = 25730104688640.

The previous prime is 95789643005939. The next prime is 95789643006011. The reversal of 95789643005952 is 25950034698759.

It is a happy number.

95789643005952 is a `hidden beast` number, since 9 + 5 + 7 + 8 + 96 + 430 + 0 + 59 + 52 = 666.

95789643005952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 32241547827 + ... + 32241550797.

Almost surely, 2^{95789643005952} 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 95789643005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172022194099200).

95789643005952 is an abundant number, since it is smaller than the sum of its proper divisors (248254745192448).

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

95789643005952 is a wasteful number, since it uses less digits than its factorization.

95789643005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 95789643005952 in words is "ninety-five trillion, seven hundred eighty-nine billion, six hundred forty-three million, five thousand, nine hundred fifty-two".