5665316567040 has 960 divisors, whose sum is σ = 23020063466400. Its totient is φ = 1321094873088.

The previous prime is 5665316567017. The next prime is 5665316567069. The reversal of 5665316567040 is 407656135665.

5665316567040 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 31 + 6 + 567 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×5665316567040³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 204857854 + ... + 204885506.

Almost surely, 2^{5665316567040} 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 5665316567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510031733200).

5665316567040 is an abundant number, since it is smaller than the sum of its proper divisors (17354746899360).

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

5665316567040 is a wasteful number, since it uses less digits than its factorization.

5665316567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27724 (or 27695 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 5665316567040 in words is "five trillion, six hundred sixty-five billion, three hundred sixteen million, five hundred sixty-seven thousand, forty".