95897082240 has 192 divisors, whose sum is σ = 331383312000. Its totient is φ = 25554124800.

The previous prime is 95897082233. The next prime is 95897082241. The reversal of 95897082240 is 4228079859.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95897082241) 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 23 ways as a sum of consecutive naturals, for example, 9216561 + ... + 9226959.

It is an arithmetic number, because the mean of its divisors is an integer number (1725954750).

Almost surely, 2^95897082240 is an apocalyptic number.

95897082240 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 95897082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165691656000).

95897082240 is an abundant number, since it is smaller than the sum of its proper divisors (235486229760).

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

95897082240 is a wasteful number, since it uses less digits than its factorization.

95897082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12025 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 95897082240 in words is "ninety-five billion, eight hundred ninety-seven million, eighty-two thousand, two hundred forty".