95132889133632 has 336 divisors, whose sum is σ = 328145569564800. Its totient is φ = 25741779886080.

The previous prime is 95132889133603. The next prime is 95132889133673. The reversal of 95132889133632 is 23633198823159.

It is a happy number.

95132889133632 is a `hidden beast` number, since 9 + 5 + 13 + 288 + 9 + 1 + 336 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×95132889133632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 95132889133632.

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 47 ways as a sum of consecutive naturals, for example, 234294244 + ... + 234699932.

Almost surely, 2^{95132889133632} 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 95132889133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164072784782400).

95132889133632 is an abundant number, since it is smaller than the sum of its proper divisors (233012680431168).

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

95132889133632 is a wasteful number, since it uses less digits than its factorization.

95132889133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408794 (or 408781 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 95132889133632 in words is "ninety-five trillion, one hundred thirty-two billion, eight hundred eighty-nine million, one hundred thirty-three thousand, six hundred thirty-two".