95493360400 has 45 divisors (see below), whose sum is σ = 229437647733. Its totient is φ = 38194872000.

The previous prime is 95493360379. The next prime is 95493360407. The reversal of 95493360400 is 406339459.

The square root of 95493360400 is 309020.

It is a perfect power (a square), and thus also a powerful number.

95493360400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34377609744 + 61115750656 = 185412^2 + 247216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95493360407) 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 8 ways as a sum of consecutive naturals, for example, 6172675 + ... + 6188125.

Almost surely, 2^95493360400 is an apocalyptic number.

95493360400 is the 309020-th square number.

It is an amenable number.

95493360400 is an abundant number, since it is smaller than the sum of its proper divisors (133944287333).

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

95493360400 is an frugal number, since it uses more digits than its factorization.

95493360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30920 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

Adding to 95493360400 its reverse (406339459), we get a palindrome (95899699859).

The spelling of 95493360400 in words is "ninety-five billion, four hundred ninety-three million, three hundred sixty thousand, four hundred".