65303853966400 has 1323 divisors, whose sum is σ = 204443892611397. Its totient is φ = 20527236172800.

The previous prime is 65303853966389. The next prime is 65303853966503. The reversal of 65303853966400 is 466935830356.

The square root of 65303853966400 is 8081080.

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

It can be written as a sum of positive squares in only one way, i.e., 23509387427904 + 41794466538496 = 4848648^2 + 6464864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2106575934385 + ... + 2106575934415.

Almost surely, 2^{65303853966400} is an apocalyptic number.

65303853966400 is the 8081080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65303853966400

65303853966400 is an abundant number, since it is smaller than the sum of its proper divisors (139140038644997).

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

65303853966400 is an frugal number, since it uses more digits than its factorization.

65303853966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 58.

The spelling of 65303853966400 in words is "sixty-five trillion, three hundred three billion, eight hundred fifty-three million, nine hundred sixty-six thousand, four hundred".