5334138816000 has 640 divisors, whose sum is σ = 17998232503680. Its totient is φ = 1401421824000.

The previous prime is 5334138815977. The next prime is 5334138816023. The reversal of 5334138816000 is 6188314335.

It is an interprime number because it is at equal distance from previous prime (5334138815977) and next prime (5334138816023).

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 9244607712 + ... + 9244608288.

It is an arithmetic number, because the mean of its divisors is an integer number (28122238287).

Almost surely, 2^{5334138816000} is an apocalyptic number.

5334138816000 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 5334138816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999116251840).

5334138816000 is an abundant number, since it is smaller than the sum of its proper divisors (12664093687680).

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

5334138816000 is an equidigital number, since it uses as much as digits as its factorization.

5334138816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 5334138816000 in words is "five trillion, three hundred thirty-four billion, one hundred thirty-eight million, eight hundred sixteen thousand".