6065080558560 has 1440 divisors, whose sum is σ = 23838254082720. Its totient is φ = 1447953408000.

The previous prime is 6065080558547. The next prime is 6065080558577. The reversal of 6065080558560 is 658550805606.

6065080558560 is a `hidden beast` number, since 6 + 0 + 6 + 5 + 0 + 80 + 558 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 6065080558497 and 6065080558506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13156356730 + ... + 13156357190.

It is an arithmetic number, because the mean of its divisors is an integer number (16554343113).

Almost surely, 2^{6065080558560} is an apocalyptic number.

6065080558560 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 6065080558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919127041360).

6065080558560 is an abundant number, since it is smaller than the sum of its proper divisors (17773173524160).

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

6065080558560 is a wasteful number, since it uses less digits than its factorization.

6065080558560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 6065080558560 in words is "six trillion, sixty-five billion, eighty million, five hundred fifty-eight thousand, five hundred sixty".