5801288894208 has 216 divisors, whose sum is σ = 17616980908800. Its totient is φ = 1830936102912.

The previous prime is 5801288894029. The next prime is 5801288894213. The reversal of 5801288894208 is 8024988821085.

5801288894208 is a `hidden beast` number, since 5 + 8 + 0 + 128 + 8 + 89 + 420 + 8 = 666.

It is a super-3 number, since 3×5801288894208³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78190633 + ... + 78264791.

It is an arithmetic number, because the mean of its divisors is an integer number (81560096800).

Almost surely, 2^{5801288894208} 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 5801288894208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808490454400).

5801288894208 is an abundant number, since it is smaller than the sum of its proper divisors (11815692014592).

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

5801288894208 is a wasteful number, since it uses less digits than its factorization.

5801288894208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75987 (or 75970 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 5801288894208 in words is "five trillion, eight hundred one billion, two hundred eighty-eight million, eight hundred ninety-four thousand, two hundred eight".