6006155375808 has 560 divisors, whose sum is σ = 21822752920320. Its totient is φ = 1595042482176.

The previous prime is 6006155375791. The next prime is 6006155375833. The reversal of 6006155375808 is 8085735516006.

6006155375808 is a `hidden beast` number, since 6 + 0 + 0 + 6 + 1 + 5 + 53 + 7 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36459835 + ... + 36624197.

Almost surely, 2^{6006155375808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006155375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10911376460160).

6006155375808 is an abundant number, since it is smaller than the sum of its proper divisors (15816597544512).

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

6006155375808 is a wasteful number, since it uses less digits than its factorization.

6006155375808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164466 (or 164447 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 6006155375808 in words is "six trillion, six billion, one hundred fifty-five million, three hundred seventy-five thousand, eight hundred eight".