95225034240 has 1280 divisors, whose sum is σ = 414830592000. Its totient is φ = 20233027584.

The previous prime is 95225034209. The next prime is 95225034241. The reversal of 95225034240 is 4243052259.

95225034240 is a `hidden beast` number, since 9 + 5 + 225 + 0 + 3 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95225034195 and 95225034204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95225034241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 478517661 + ... + 478517859.

It is an arithmetic number, because the mean of its divisors is an integer number (324086400).

Almost surely, 2^95225034240 is an apocalyptic number.

95225034240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95225034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207415296000).

95225034240 is an abundant number, since it is smaller than the sum of its proper divisors (319605557760).

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

95225034240 is a wasteful number, since it uses less digits than its factorization.

95225034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 95225034240 its reverse (4243052259), we get a palindrome (99468086499).

The spelling of 95225034240 in words is "ninety-five billion, two hundred twenty-five million, thirty-four thousand, two hundred forty".