65864089600 has 135 divisors (see below), whose sum is σ = 163746299731. Its totient is φ = 26279936000.

The previous prime is 65864089597. The next prime is 65864089691. The reversal of 65864089600 is 698046856.

The square root of 65864089600 is 256640.

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 17618845696 + 48245243904 = 132736^2 + 219648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164249400 + ... + 164249800.

Almost surely, 2^65864089600 is an apocalyptic number.

65864089600 is the 256640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65864089600

65864089600 is an abundant number, since it is smaller than the sum of its proper divisors (97882210131).

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

65864089600 is an frugal number, since it uses more digits than its factorization.

65864089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 65864089600 in words is "sixty-five billion, eight hundred sixty-four million, eighty-nine thousand, six hundred".