8428271616000 has 1800 divisors, whose sum is σ = 33503443829856. Its totient is φ = 2104079155200.

The previous prime is 8428271615989. The next prime is 8428271616013. The reversal of 8428271616000 is 6161728248.

8428271616000 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 27 + 1 + 616 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179324927977 + ... + 179324928023.

Almost surely, 2^{8428271616000} is an apocalyptic number.

8428271616000 is a gapful number since it is divisible by the number (80) 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 8428271616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751721914928).

8428271616000 is an abundant number, since it is smaller than the sum of its proper divisors (25075172213856).

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

8428271616000 is an frugal number, since it uses more digits than its factorization.

8428271616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 8428271616000 in words is "eight trillion, four hundred twenty-eight billion, two hundred seventy-one million, six hundred sixteen thousand".