6005230909920 has 216 divisors, whose sum is σ = 22525199941608. Its totient is φ = 1455813511680.

The previous prime is 6005230909919. The next prime is 6005230909933. The reversal of 6005230909920 is 299090325006.

6005230909920 is a `hidden beast` number, since 600 + 5 + 2 + 30 + 9 + 0 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17058402 + ... + 17406881.

It is an arithmetic number, because the mean of its divisors is an integer number (104283333063).

Almost surely, 2^{6005230909920} is an apocalyptic number.

6005230909920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005230909920 is an abundant number, since it is smaller than the sum of its proper divisors (16519969031688).

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

6005230909920 is a wasteful number, since it uses less digits than its factorization.

6005230909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34465326 (or 34465304 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 6005230909920 in words is "six trillion, five billion, two hundred thirty million, nine hundred nine thousand, nine hundred twenty".