95367606400 has 768 divisors, whose sum is σ = 289151493120. Its totient is φ = 30670848000.

The previous prime is 95367606377. The next prime is 95367606403. The reversal of 95367606400 is 460676359.

It is not an unprimeable number, because it can be changed into a prime (95367606403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983171152 + ... + 983171248.

It is an arithmetic number, because the mean of its divisors is an integer number (376499340).

Almost surely, 2^95367606400 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 95367606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144575746560).

95367606400 is an abundant number, since it is smaller than the sum of its proper divisors (193783886720).

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

95367606400 is a wasteful number, since it uses less digits than its factorization.

95367606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 95367606400 in words is "ninety-five billion, three hundred sixty-seven million, six hundred six thousand, four hundred".