3516165394560 has 576 divisors, whose sum is σ = 15210570637080. Its totient is φ = 741871484928.

The previous prime is 3516165394543. The next prime is 3516165394579. The reversal of 3516165394560 is 654935616153.

3516165394560 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 1 + 6 + 539 + 45 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2640833004096 + 875332390464 = 1625064^2 + 935592^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3516165394497 and 3516165394506.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3189964 + ... + 4148276.

Almost surely, 2^{3516165394560} is an apocalyptic number.

3516165394560 is a gapful number since it is divisible by the number (30) 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 3516165394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605285318540).

3516165394560 is an abundant number, since it is smaller than the sum of its proper divisors (11694405242520).

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

3516165394560 is a wasteful number, since it uses less digits than its factorization.

3516165394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958365 (or 958343 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 3516165394560 in words is "three trillion, five hundred sixteen billion, one hundred sixty-five million, three hundred ninety-four thousand, five hundred sixty".