6005258204220 has 144 divisors (see below), whose sum is σ = 20334083882112. Its totient is φ = 1421963867520.

The previous prime is 6005258204207. The next prime is 6005258204221. The reversal of 6005258204220 is 224028525006.

6005258204220 is a `hidden beast` number, since 6 + 0 + 0 + 52 + 582 + 0 + 4 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005258204221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35181822 + ... + 35352101.

It is an arithmetic number, because the mean of its divisors is an integer number (141208915848).

Almost surely, 2^{6005258204220} is an apocalyptic number.

6005258204220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005258204220 is an abundant number, since it is smaller than the sum of its proper divisors (14328825677892).

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

6005258204220 is a wasteful number, since it uses less digits than its factorization.

6005258204220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70533992 (or 70533987 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 6005258204220 in words is "six trillion, five billion, two hundred fifty-eight million, two hundred four thousand, two hundred twenty".