5801048064 has 288 divisors, whose sum is σ = 19998997200. Its totient is φ = 1656668160.

The previous prime is 5801048051. The next prime is 5801048083. The reversal of 5801048064 is 4608401085.

5801048064 is a `hidden beast` number, since 580 + 10 + 4 + 8 + 0 + 64 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708434 + ... + 2710574.

Almost surely, 2^5801048064 is an apocalyptic number.

5801048064 is a gapful number since it is divisible by the number (54) 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 5801048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999498600).

5801048064 is an abundant number, since it is smaller than the sum of its proper divisors (14197949136).

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

5801048064 is a wasteful number, since it uses less digits than its factorization.

5801048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5801048064 is about 76164.6116250848. The cubic root of 5801048064 is about 1796.8099943753.

The spelling of 5801048064 in words is "five billion, eight hundred one million, forty-eight thousand, sixty-four".