6005355145020 has 144 divisors (see below), whose sum is σ = 22711161328128. Its totient is φ = 1247866001280.

The previous prime is 6005355144937. The next prime is 6005355145033. The reversal of 6005355145020 is 205415535006.

6005355145020 is a `hidden beast` number, since 6 + 0 + 0 + 53 + 551 + 4 + 50 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216629544 + ... + 216657263.

It is an arithmetic number, because the mean of its divisors is an integer number (157716398112).

Almost surely, 2^{6005355145020} is an apocalyptic number.

6005355145020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005355145020 is an abundant number, since it is smaller than the sum of its proper divisors (16705806183108).

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

6005355145020 is a wasteful number, since it uses less digits than its factorization.

6005355145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433286840 (or 433286835 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 6005355145020 in words is "six trillion, five billion, three hundred fifty-five million, one hundred forty-five thousand, twenty".