6005314560 has 528 divisors, whose sum is σ = 22850415360. Its totient is φ = 1341849600.

The previous prime is 6005314543. The next prime is 6005314603. The reversal of 6005314560 is 654135006.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59458510 + ... + 59458610.

Almost surely, 2^6005314560 is an apocalyptic number.

6005314560 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 6005314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425207680).

6005314560 is an abundant number, since it is smaller than the sum of its proper divisors (16845100800).

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

6005314560 is a wasteful number, since it uses less digits than its factorization.

6005314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 6005314560 is about 77493.9646682243. The cubic root of 6005314560 is about 1817.6569454155.

Adding to 6005314560 its reverse (654135006), we get a palindrome (6659449566).

The spelling of 6005314560 in words is "six billion, five million, three hundred fourteen thousand, five hundred sixty".