5838809026400 has 144 divisors (see below), whose sum is σ = 16296289158240. Its totient is φ = 2001138585600.

The previous prime is 5838809026367. The next prime is 5838809026403. The reversal of 5838809026400 is 46209088385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838809026403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15091370 + ... + 15473430.

It is an arithmetic number, because the mean of its divisors is an integer number (113168674710).

Almost surely, 2^{5838809026400} is an apocalyptic number.

5838809026400 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 5838809026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148144579120).

5838809026400 is an abundant number, since it is smaller than the sum of its proper divisors (10457480131840).

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

5838809026400 is a wasteful number, since it uses less digits than its factorization.

5838809026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384817 (or 384804 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 5838809026400 in words is "five trillion, eight hundred thirty-eight billion, eight hundred nine million, twenty-six thousand, four hundred".