95771680900 has 81 divisors (see below), whose sum is σ = 241809781647. Its totient is φ = 32828577600.

The previous prime is 95771680871. The next prime is 95771680909. The reversal of 95771680900 is 908617759.

It is a happy number.

The square root of 95771680900 is 309470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4529020804 + 91242660096 = 67298^2 + 302064^2 .

It is a super-2 number, since 2×95771680900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95771680909) 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 26 ways as a sum of consecutive naturals, for example, 21660690 + ... + 21665110.

Almost surely, 2^95771680900 is an apocalyptic number.

95771680900 is the 309470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95771680900

95771680900 is an abundant number, since it is smaller than the sum of its proper divisors (146038100747).

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

95771680900 is an equidigital number, since it uses as much as digits as its factorization.

95771680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 52.

The spelling of 95771680900 in words is "ninety-five billion, seven hundred seventy-one million, six hundred eighty thousand, nine hundred".