5384436071600 has 120 divisors (see below), whose sum is σ = 13016095979040. Its totient is φ = 2140481064960.

The previous prime is 5384436071569. The next prime is 5384436071603. The reversal of 5384436071600 is 61706344835.

It is not an unprimeable number, because it can be changed into a prime (5384436071603) 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, 72380024 + ... + 72454376.

It is an arithmetic number, because the mean of its divisors is an integer number (108467466492).

Almost surely, 2^{5384436071600} is an apocalyptic number.

5384436071600 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 5384436071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508047989520).

5384436071600 is an abundant number, since it is smaller than the sum of its proper divisors (7631659907440).

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

5384436071600 is a wasteful number, since it uses less digits than its factorization.

5384436071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75487 (or 75476 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 5384436071600 in words is "five trillion, three hundred eighty-four billion, four hundred thirty-six million, seventy-one thousand, six hundred".