8056421856 has 288 divisors, whose sum is σ = 28621651968. Its totient is φ = 2096271360.

The previous prime is 8056421741. The next prime is 8056421861. The reversal of 8056421856 is 6581246508.

8056421856 is a `hidden beast` number, since 8 + 0 + 564 + 2 + 1 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058641 + ... + 1066223.

It is an arithmetic number, because the mean of its divisors is an integer number (99380736).

Almost surely, 2^8056421856 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 8056421856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310825984).

8056421856 is an abundant number, since it is smaller than the sum of its proper divisors (20565230112).

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

8056421856 is a wasteful number, since it uses less digits than its factorization.

8056421856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8056421856 is about 89757.5726944529. The cubic root of 8056421856 is about 2004.6908108787.

The spelling of 8056421856 in words is "eight billion, fifty-six million, four hundred twenty-one thousand, eight hundred fifty-six".