65561272842240 has 576 divisors, whose sum is σ = 262066808203200. Its totient is φ = 14847936823296.

The previous prime is 65561272842211. The next prime is 65561272842313. The reversal of 65561272842240 is 4224827216556.

65561272842240 is a `hidden beast` number, since 6 + 5 + 56 + 1 + 272 + 84 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69851904 + ... + 70784256.

It is an arithmetic number, because the mean of its divisors is an integer number (454977097575).

Almost surely, 2^{65561272842240} is an apocalyptic number.

65561272842240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65561272842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033404101600).

65561272842240 is an abundant number, since it is smaller than the sum of its proper divisors (196505535360960).

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

65561272842240 is a wasteful number, since it uses less digits than its factorization.

65561272842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932502 (or 932479 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 65561272842240 in words is "sixty-five trillion, five hundred sixty-one billion, two hundred seventy-two million, eight hundred forty-two thousand, two hundred forty".