5966580542720 has 576 divisors, whose sum is σ = 17632751431680. Its totient is φ = 1888676020224.

The previous prime is 5966580542687. The next prime is 5966580542737. The reversal of 5966580542720 is 272450856695.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5966580542720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5438997212 + ... + 5438998308.

It is an arithmetic number, because the mean of its divisors is an integer number (30612415680).

Almost surely, 2^{5966580542720} 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 5966580542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816375715840).

5966580542720 is an abundant number, since it is smaller than the sum of its proper divisors (11666170888960).

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

5966580542720 is a wasteful number, since it uses less digits than its factorization.

5966580542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 59.

The spelling of 5966580542720 in words is "five trillion, nine hundred sixty-six billion, five hundred eighty million, five hundred forty-two thousand, seven hundred twenty".