8085401856 has 360 divisors, whose sum is σ = 28099963584. Its totient is φ = 2264371200.

The previous prime is 8085401851. The next prime is 8085401867. The reversal of 8085401856 is 6581045808.

It is not an unprimeable number, because it can be changed into a prime (8085401851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7692531 + ... + 7693581.

Almost surely, 2^8085401856 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 8085401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049981792).

8085401856 is an abundant number, since it is smaller than the sum of its proper divisors (20014561728).

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

8085401856 is a wasteful number, since it uses less digits than its factorization.

8085401856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8085401856 is about 89918.8626262588. The cubic root of 8085401856 is about 2007.0916458918.

The spelling of 8085401856 in words is "eight billion, eighty-five million, four hundred one thousand, eight hundred fifty-six".