65561353050240 has 1024 divisors, whose sum is σ = 256194441216000. Its totient is φ = 15771294646272.

The previous prime is 65561353050211. The next prime is 65561353050241. The reversal of 65561353050240 is 4205035316556.

65561353050240 is a `hidden beast` number, since 6 + 5 + 5 + 6 + 1 + 353 + 0 + 50 + 240 = 666.

65561353050240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (65561353050241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1683933814 + ... + 1683972746.

It is an arithmetic number, because the mean of its divisors is an integer number (250189884000).

Almost surely, 2^{65561353050240} is an apocalyptic number.

65561353050240 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 65561353050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128097220608000).

65561353050240 is an abundant number, since it is smaller than the sum of its proper divisors (190633088165760).

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

65561353050240 is a wasteful number, since it uses less digits than its factorization.

65561353050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39226 (or 39208 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

Adding to 65561353050240 its reverse (4205035316556), we get a palindrome (69766388366796).

The spelling of 65561353050240 in words is "sixty-five trillion, five hundred sixty-one billion, three hundred fifty-three million, fifty thousand, two hundred forty".