95525138000 has 80 divisors (see below), whose sum is σ = 231177919440. Its totient is φ = 38177280000.

The previous prime is 95525137963. The next prime is 95525138003. The reversal of 95525138000 is 83152559.

It can be written as a sum of positive squares in 8 ways, for example, as 81763971136 + 13761166864 = 285944^2 + 117308^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95525138003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382116 + ... + 2421884.

It is an arithmetic number, because the mean of its divisors is an integer number (2889723993).

Almost surely, 2^95525138000 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 95525138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115588959720).

95525138000 is an abundant number, since it is smaller than the sum of its proper divisors (135652781440).

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

95525138000 is a wasteful number, since it uses less digits than its factorization.

95525138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40993 (or 40977 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 95525138000 in words is "ninety-five billion, five hundred twenty-five million, one hundred thirty-eight thousand".