6008428855296 has 1152 divisors, whose sum is σ = 21911628298560. Its totient is φ = 1611380293632.

The previous prime is 6008428855283. The next prime is 6008428855309. The reversal of 6008428855296 is 6925588248006.

6008428855296 is a `hidden beast` number, since 6 + 0 + 0 + 8 + 4 + 28 + 85 + 529 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6008428855283) and next prime (6008428855309).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6008428855296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16108388166 + ... + 16108388538.

Almost surely, 2^{6008428855296} 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 6008428855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955814149280).

6008428855296 is an abundant number, since it is smaller than the sum of its proper divisors (15903199443264).

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

6008428855296 is an frugal number, since it uses more digits than its factorization.

6008428855296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 6008428855296 in words is "six trillion, eight billion, four hundred twenty-eight million, eight hundred fifty-five thousand, two hundred ninety-six".