65541468800 has 48 divisors (see below), whose sum is σ = 161907917550. Its totient is φ = 26216586240.

The previous prime is 65541468787. The next prime is 65541468847. The reversal of 65541468800 is 886414556.

It can be written as a sum of positive squares in 3 ways, for example, as 63895706176 + 1645762624 = 252776^2 + 40568^2 .

It is a super-4 number, since 4×65541468800⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10237655 + ... + 10244054.

Almost surely, 2^65541468800 is an apocalyptic number.

It is an amenable number.

65541468800 is an abundant number, since it is smaller than the sum of its proper divisors (96366448750).

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

65541468800 is a wasteful number, since it uses less digits than its factorization.

65541468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20481733 (or 20481716 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 65541468800 in words is "sixty-five billion, five hundred forty-one million, four hundred sixty-eight thousand, eight hundred".