95135691882 has 256 divisors, whose sum is σ = 254280499200. Its totient is φ = 22985544960.

The previous prime is 95135691881. The next prime is 95135691883. The reversal of 95135691882 is 28819653159.

It is a happy number.

95135691882 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (95135691881) and next prime (95135691883).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (95135691881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125674248 + ... + 125675004.

It is an arithmetic number, because the mean of its divisors is an integer number (993283200).

Almost surely, 2^95135691882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95135691882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127140249600).

95135691882 is an abundant number, since it is smaller than the sum of its proper divisors (159144807318).

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

95135691882 is a wasteful number, since it uses less digits than its factorization.

95135691882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

The product of its digits is 4665600, while the sum is 57.

The spelling of 95135691882 in words is "ninety-five billion, one hundred thirty-five million, six hundred ninety-one thousand, eight hundred eighty-two".