8421152256 has 320 divisors, whose sum is σ = 27576806400. Its totient is φ = 2515968000.

The previous prime is 8421152191. The next prime is 8421152261. The reversal of 8421152256 is 6522511248.

8421152256 is a `hidden beast` number, since 8 + 421 + 1 + 5 + 225 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8421152256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12012706 + ... + 12013406.

It is an arithmetic number, because the mean of its divisors is an integer number (86177520).

Almost surely, 2^8421152256 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 8421152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788403200).

8421152256 is an abundant number, since it is smaller than the sum of its proper divisors (19155654144).

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

8421152256 is a wasteful number, since it uses less digits than its factorization.

8421152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 796 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 8421152256 is about 91766.8363625989. The cubic root of 8421152256 is about 2034.4975592922.

The spelling of 8421152256 in words is "eight billion, four hundred twenty-one million, one hundred fifty-two thousand, two hundred fifty-six".