6058580820 has 72 divisors (see below), whose sum is σ = 17569310304. Its totient is φ = 1559897472.

The previous prime is 6058580797. The next prime is 6058580831. The reversal of 6058580820 is 280858506.

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 23 ways as a sum of consecutive naturals, for example, 9574 + ... + 110493.

Almost surely, 2^6058580820 is an apocalyptic number.

6058580820 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 6058580820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784655152).

6058580820 is an abundant number, since it is smaller than the sum of its proper divisors (11510729484).

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

6058580820 is a wasteful number, since it uses less digits than its factorization.

6058580820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120137 (or 120106 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 6058580820 is about 77836.8859860157. The cubic root of 6058580820 is about 1823.0152509455.

The spelling of 6058580820 in words is "six billion, fifty-eight million, five hundred eighty thousand, eight hundred twenty".