5390809200000 has 2688 divisors, whose sum is σ = 24386001696000. Its totient is φ = 1158935040000.

The previous prime is 5390809199989. The next prime is 5390809200059. The reversal of 5390809200000 is 29080935.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 38782799931 + ... + 38782800069.

It is an arithmetic number, because the mean of its divisors is an integer number (9072173250).

Almost surely, 2^{5390809200000} is an apocalyptic number.

5390809200000 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 5390809200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193000848000).

5390809200000 is an abundant number, since it is smaller than the sum of its proper divisors (18995192496000).

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

5390809200000 is an frugal number, since it uses more digits than its factorization.

5390809200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 5390809200000 in words is "five trillion, three hundred ninety billion, eight hundred nine million, two hundred thousand".