6005255520 has 384 divisors, whose sum is σ = 22434693120. Its totient is φ = 1334016000.

The previous prime is 6005255507. The next prime is 6005255567. The reversal of 6005255520 is 255525006.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 3108955 + ... + 3110885.

It is an arithmetic number, because the mean of its divisors is an integer number (58423680).

Almost surely, 2^6005255520 is an apocalyptic number.

6005255520 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 6005255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217346560).

6005255520 is an abundant number, since it is smaller than the sum of its proper divisors (16429437600).

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

6005255520 is a wasteful number, since it uses less digits than its factorization.

6005255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 6005255520 is about 77493.5837343970. The cubic root of 6005255520 is about 1817.6509887574.

The spelling of 6005255520 in words is "six billion, five million, two hundred fifty-five thousand, five hundred twenty".