6058260996480 has 2304 divisors, whose sum is σ = 28855151769600. Its totient is φ = 1153784217600.

The previous prime is 6058260996433. The next prime is 6058260996517. The reversal of 6058260996480 is 846990628506.

6058260996480 is a `hidden beast` number, since 6 + 0 + 5 + 8 + 2 + 60 + 9 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1828631304 + ... + 1828634616.

It is an arithmetic number, because the mean of its divisors is an integer number (12523937400).

Almost surely, 2^{6058260996480} is an apocalyptic number.

6058260996480 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 6058260996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14427575884800).

6058260996480 is an abundant number, since it is smaller than the sum of its proper divisors (22796890773120).

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

6058260996480 is a wasteful number, since it uses less digits than its factorization.

6058260996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 6058260996480 in words is "six trillion, fifty-eight billion, two hundred sixty million, nine hundred ninety-six thousand, four hundred eighty".