5855086080 has 640 divisors, whose sum is σ = 22627123200. Its totient is φ = 1430618112.

The previous prime is 5855086067. The next prime is 5855086087. The reversal of 5855086080 is 806805585.

5855086080 is a `hidden beast` number, since 5 + 8 + 5 + 508 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5855086087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46102977 + ... + 46103103.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 2^5855086080 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 5855086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

5855086080 is an abundant number, since it is smaller than the sum of its proper divisors (16772037120).

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

5855086080 is a wasteful number, since it uses less digits than its factorization.

5855086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 5855086080 is about 76518.5342253757. The cubic root of 5855086080 is about 1802.3719840114.

The spelling of 5855086080 in words is "five billion, eight hundred fifty-five million, eighty-six thousand, eighty".