5889344834400 has 576 divisors, whose sum is σ = 20428017523200. Its totient is φ = 1469519953920.

The previous prime is 5889344834339. The next prime is 5889344834413. The reversal of 5889344834400 is 44384439885.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2888348581 + ... + 2888350619.

It is an arithmetic number, because the mean of its divisors is an integer number (35465308200).

Almost surely, 2^{5889344834400} is an apocalyptic number.

5889344834400 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 5889344834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214008761600).

5889344834400 is an abundant number, since it is smaller than the sum of its proper divisors (14538672688800).

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

5889344834400 is a wasteful number, since it uses less digits than its factorization.

5889344834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 5889344834400 in words is "five trillion, eight hundred eighty-nine billion, three hundred forty-four million, eight hundred thirty-four thousand, four hundred".