5859013888000 has 2304 divisors, whose sum is σ = 20228005324800. Its totient is φ = 1672151040000.

The previous prime is 5859013887977. The next prime is 5859013888009. The reversal of 5859013888000 is 8883109585.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5859013888009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96049407970 + ... + 96049408030.

It is an arithmetic number, because the mean of its divisors is an integer number (8779516200).

Almost surely, 2^{5859013888000} is an apocalyptic number.

5859013888000 is a gapful number since it is divisible by the number (50) 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 5859013888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114002662400).

5859013888000 is an abundant number, since it is smaller than the sum of its proper divisors (14368991436800).

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

5859013888000 is a wasteful number, since it uses less digits than its factorization.

5859013888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 55.

The spelling of 5859013888000 in words is "five trillion, eight hundred fifty-nine billion, thirteen million, eight hundred eighty-eight thousand".