65264920900 has 81 divisors (see below), whose sum is σ = 144399469431. Its totient is φ = 25604225280.

The previous prime is 65264920873. The next prime is 65264920901. The reversal of 65264920900 is 902946256.

The square root of 65264920900 is 255470.

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 19950432516 + 45314488384 = 141246^2 + 212872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65264920901) 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, 150727084 + ... + 150727516.

Almost surely, 2^65264920900 is an apocalyptic number.

65264920900 is the 255470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65264920900

65264920900 is an abundant number, since it is smaller than the sum of its proper divisors (79134548531).

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

65264920900 is an equidigital number, since it uses as much as digits as its factorization.

65264920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 65264920900 in words is "sixty-five billion, two hundred sixty-four million, nine hundred twenty thousand, nine hundred".