6005175644160 has 1248 divisors, whose sum is σ = 26790782054400. Its totient is φ = 1207487692800.

The previous prime is 6005175644131. The next prime is 6005175644197. The reversal of 6005175644160 is 614465715006.

6005175644160 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 175 + 64 + 416 + 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 95 ways as a sum of consecutive naturals, for example, 439965016 + ... + 439978664.

It is an arithmetic number, because the mean of its divisors is an integer number (21466972800).

Almost surely, 2^{6005175644160} is an apocalyptic number.

6005175644160 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 6005175644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395391027200).

6005175644160 is an abundant number, since it is smaller than the sum of its proper divisors (20785606410240).

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

6005175644160 is a wasteful number, since it uses less digits than its factorization.

6005175644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13733 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6005175644160 in words is "six trillion, five billion, one hundred seventy-five million, six hundred forty-four thousand, one hundred sixty".