535971822946560 has 5184 divisors, whose sum is σ = 2614783163166720. Its totient is φ = 101641223208960.

The previous prime is 535971822946559. The next prime is 535971822946577. The reversal of 535971822946560 is 65649228179535.

535971822946560 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 7 + 1 + 82 + 29 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 865867241931 + ... + 865867242549.

It is a 2-persistent number, because it is pandigital, and so is 2⋅535971822946560 = 1071943645893120, but 3⋅535971822946560 = 1607915468839680 is not.

Almost surely, 2^{535971822946560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535971822946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307391581583360).

535971822946560 is an abundant number, since it is smaller than the sum of its proper divisors (2078811340220160).

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

535971822946560 is a wasteful number, since it uses less digits than its factorization.

535971822946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 535971822946560 in words is "five hundred thirty-five trillion, nine hundred seventy-one billion, eight hundred twenty-two million, nine hundred forty-six thousand, five hundred sixty".