65966785600 has 63 divisors (see below), whose sum is σ = 162344805231. Its totient is φ = 26382604800.

The previous prime is 65966785579. The next prime is 65966785607. The reversal of 65966785600 is 658766956.

The square root of 65966785600 is 256840.

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

65966785600 is digitally balanced in base 2, 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 4 ways, for example, as 8765453376 + 57201332224 = 93624^2 + 239168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65966785607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10270390 + ... + 10276810.

Almost surely, 2^65966785600 is an apocalyptic number.

65966785600 is the 256840-th square number.

It is an amenable number.

65966785600 is an abundant number, since it is smaller than the sum of its proper divisors (96378019631).

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

65966785600 is an frugal number, since it uses more digits than its factorization.

65966785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12864 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 65966785600 in words is "sixty-five billion, nine hundred sixty-six million, seven hundred eighty-five thousand, six hundred".